(Surface Area of Cylinders MC)

Determine the exact surface area of the cylinder in terms of π.

cylinder with radius labeled 1 and one fourth centimeters and a height labeled 3 and three fourths centimeters

39 and one fourth times pi square centimeters
14 and one sixteenth times pi square centimeters
12 and one half times pi square centimeters
10 and 15 sixteenths times pi square centimeters

Answers

Answer 1

The surface area of a cylinder can be found by adding the areas of the top and bottom circles, as well as the area of the side (lateral) surface.

The radius of the cylinder is 1 and one fourth centimeters, which can be written as 5/4 cm. The height of the cylinder is 3 and three fourths centimeters, which can be written as 15/4 cm.

The area of each circle is πr^2, where r is the radius. So, the area of the top and bottom circles is:

2π(5/4)^2 = 25/2 π square centimeters

The lateral surface area of a cylinder is given by the formula 2πrh, where r is the radius and h is the height. So, the lateral surface area of the cylinder is:

2π(5/4)(15/4) = 75/2 π square centimeters

Therefore, the total surface area of the cylinder is:

25/2 π + 75/2 π = 100/2 π = 50 π square centimeters

So, the exact surface area of the cylinder in terms of π is 50π square centimeters. None of the given options matches this answer.


Related Questions

Simplify the expression. negative 17 plus the quantity negative 3 and seven tenths plus 9 and 15 hundredths end quantity divided by 5 all times 4 squared minus 4 and 7 tenths Tell me the answer ASAP I will give you 100 points!!!!!
A. −4.26
B. −12.98
C. 13.41
D. 259.26

Answers

Answer: -41.66

Step-by-step explanation:From the question, we have the following parameters that can be used in our computation:

negative 17 plus the quantity negative 3 and seven tenths plus 9 and 15 hundredths end quantity divided by 5 all times 4 squared minus 4 and 7 tenths

Rewrite properly

So, we have

(-17 - 3.7 + 9.15)/5 * 4² - 4.7

Evaluate the sum and the difference in the expression

So, we have

-11.55/5 * 4² - 4.7

Evaluate the exponent and the quotient

-2.31 * 16 - 4.7

So, we have

-36.96 - 4.7

Evaluate

-41.66

Geological processes are events that happen on Earth over and over again throughout time. How can you tell that the formation of volcanoes is a geological process that will repeat over time?

Answers

The formation of volcanoes is considered a geological process because it is a natural occurrence that results from the movement and interactions of tectonic plates beneath the Earth's surface.

The following are some ways that suggest the formation of volcanoes is a geological process that will repeat over time:

Plate tectonics: The movement and collision of tectonic plates are the main drivers of volcanic activity on Earth. As the plates move, they create areas of tension and pressure that can lead to the formation of volcanoes. Since plate tectonics is an ongoing process, the potential for the formation of volcanoes will continue over time.Volcanic history: The geological record of the Earth shows that there have been many volcanic eruptions throughout the planet's history. This suggests that the formation of volcanoes is a recurring process that has happened repeatedly in the past and will continue to occur in the future.Active volcanoes: There are currently more than 1,500 active volcanoes on Earth, which is a clear indication that volcanic activity is an ongoing process. These active volcanoes are located in regions that are associated with tectonic plate boundaries and hotspots, which are also evidence that volcanic activity is a geological process that will continue to occur over time.Geological surveys: Geologists can study the geological features of an area to identify whether it is prone to volcanic activity. For example, if an area has a history of volcanic eruptions or contains volcanic rock formations, it suggests that the area is likely to experience future volcanic activity.

Overall, the combination of plate tectonics, volcanic history, the presence of active volcanoes, and geological surveys provide strong evidence that the formation of volcanoes is a geological process that will continue to occur over time.

Learn more about formation of volcanoes on

https://brainly.com/question/264008

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You have a bag of marbles with 630 marbles in it: 110 red, 230 green, and 290 blue. You pull out 1 marble, record the color, and replace it.

After you do this 100 times, the table shows the number of times each color was drawn:

Red Green Blue Total

21 35 44 100

Give exact, reduced answers.

a) What is the theoretical probability of drawing a blue?




b) What is the experimental probability of drawing a blue?

Answers

Answer:

a) The theoretical probability of drawing a blue marble is the ratio of the number of blue marbles to the total number of marbles in the bag, which is:

P(blue) = number of blue marbles / total number of marbles

= 290 / 630

= 29 / 63

So the theoretical probability of drawing a blue marble is 29/63.

b) The experimental probability of drawing a blue marble is the ratio of the number of times a blue marble was actually drawn to the total number of trials, which is:

P(experimental blue) = number of times a blue marble was drawn / total number of trials

= 44 / 100

= 11 / 25

So the experimental probability of drawing a blue marble is 11/25.

Step-by-step explanation:

espero te ayude

10 hdhgdgdhduisowknwbdbd rn brb

What is $400 at 3% for 5 years?

A. Find the interest earned
B. Find the balance of the account

Answers

Answer:

Step-by-step explanation:

A. 63.71

B. 463.71

Directions: Simplify the following expressions. Refer to the rules for signed numbers in solving these problems.

Example: - 4 + 5 = +1 (the signs are different, take the difference (subtract) and place the sign of the larger number)

1. + 2 - (+3) =

2. + 11 + (-10) =

3. 3 + (-5 ) =

4. + 22 - 21 =

5. - 8 - (-44) =

6. -12 - (-6 ) + 3 =

7. + 16 -(-12) =

8. - 36 - (-36) =

9. -4 * 10 =

10. -1 * -1 =

11. + 7 * - 7 =

12. -4 / 4 =

13. -7 * -5 =

14. -10 * + 8 =

15. -2 * - 7 =

Answers

1. -1

2. 1

3. -2

4. 1

5. 36

6. -3

7. 28

8. 0

9. -40

10. 1

11. -49

12. -4

13. 35

14. -80

15. 14

Hope that helps!

1. -1

2. 1

3. -2

4.1

5.36

6. -3

7. 28

8.0

9. -40

10. 1

11. -49

12. -4

13. 35

14. -80

15. 14

Whoever gets this right is A. Awesome and B. VERY SMART!

Martin and two of his friends take turns driving on a trip. The gas mileage for their car ranges from 29.26 to 25.01 miles per gallon. Each friend drives between 66 and 72 miles, so Martin estimates they will need about 6 gallons of fuel for their trip. Is this a reasonable estimate?

A. Yes, it is reasonable
B. No, it should be higher
C. No, it should be lower

Answers

Answer:

The answer would be B.

Step-by-step explanation:

Hope this helps! :)

the answer is c it’s should b lower

Write the equations of each line in slope-intercept form. (y=mx+b)

Answers

To write the equation of a line in slope-intercept form, we need to determine the slope of the line and the y-intercept.

The slope-intercept form of the equation of a line is given by:

y = mx + b

where m is the slope of the line, and b is the y-intercept.

To find the equation of a line in slope-intercept form, we need to determine the values of m and b.

Here are two examples:

The line passes through the points (2, 4) and (4, 8).
To find the slope, we use the formula:
m = (y2 - y1)/(x2 - x1)

where (x1, y1) = (2, 4) and (x2, y2) = (4, 8)

m = (8 - 4)/(4 - 2) = 2

To find the y-intercept, we can use the point-slope form of the equation of a line:

y - y1 = m(x - x1)

where (x1, y1) is one of the points on the line, for example, (2, 4).

y - 4 = 2(x - 2)

y - 4 = 2x - 4

y = 2x + 0

Therefore, the equation of the line in slope-intercept form is y = 2x.

The line passes through the point (3, 7) and has a slope of -3.
We can use the point-slope form of the equation of a line to find the equation in slope-intercept form.
y - y1 = m(x - x1)

where (x1, y1) is the given point, (3, 7), and m is the slope, which is -3.

y - 7 = -3(x - 3)

y - 7 = -3x + 9

y = -3x + 16

Therefore, the equation of the line in slope-intercept form is y = -3x + 16

Answer:

The equation would be y = -2x + 19

Step-by-step explanation:

To find this, we can use the point and the slope in point-slope form. The we solve for y.

y - y1 = m(x - x1)

y - 7 = -2(x - 6)

y - 7 = -2x + 12

y = -2x + 19

please help with this

Answers

Answer: d

Step-by-step explanation:

i just know.

Answer:

d

Step-by-step explanation:

i took the test

The table lists recommended amounts of food to order for 25 party guests. Nathan and Amanda are hosting a graduation party for 40 guests. They know there will also be guests stopping by who may have come from other parties. For ordering​ purposes, they will count each of these​ "drop-in" guests as half a guest. How much of each food item should Nathan and Amanda order for a graduation party with 45 ​drop-in guests?



Fried Chicken

28 pieces

Deli Meats

4 and one third

pounds

Lasagna

10 and three fourths

pounds

Answers

Answer:

deli meats or lasagna

Step-by-step explanation:

BEING TIMED! HELP ASAP!!
What is the measure of angle A in this triangle?

Enter your answer in the box.

​ m∠A= ​
°

Answers

I am to believe the answer is 50 degrees

Answer: hope this helps ♡

m∠A= = 50°

Step-by-step explanation:

Triangle = 180°

A + B + C = 180°

(2x-10)° + (x+30)° + 70° = 180°

2x° + x° + 30° - 10° + 70°= 180°

3x° + 90° = 180°

3x° + 90° - 90 = 180° - 90

3x = 90°

3x ÷ 3 = 90° ÷ 3

x = 30°

m∠A= (2×30-10)° = (60-10)° = 50°

please help me with this

Answers

Answer:

The answer would be A.

Step-by-step explanation:

Hope this helps!

Answer is A
hope this helps

You guys are annoying!

Answers

the reason for the annoying behavior that you see in us is because you do not understand us. if you were a proper weirdo, you would know this.

yay that is amazing congratulations

HELP!! PLEASEREEEEEEEE

Answers

m>-20
(THE > WITH THE LINE UNDER IT)

Answer: D.

Step-by-step explanation:

It's greater than or equal to so the dot would be closed. And a trick is to see whichever way the sign is pointing to on the line. ( < or >) and that's the direction the line will go

Drag each expression to show whether it is equivalent to 45x + 15 or 15(3x − 1)

Answers

Answer:

14x-15 = 15(3x-1)

(5 x 9x) - (5 x 3 )= 45x=15

(5 x 9x) + (5 x 3)= 45x=15

15(3x+1)= 45x+15

Step-by-step explanation:

2(1/5m - 2/5)+3/5 combine like terms

Answers

Answer:

2/5m -1/5

Step-by-step explanation:

distributive property

2/5m -4/5 + 3/5

Combine the like terms

2/5m -1/5

2/5m -1/5 I just took the test

Who every answers this gets 100 points!!

And you have to be right!!!

Answers

Answer: is it 7

Step-by-step explanation: just by looking at the image it looks like answer would be 7

OKAY I NEED HELP ASAP,

THE PROBLEM IS , y divided by 6 x 6 = 3 x 6

SO THEN ITS ASKING ME "IF WE DIVIDED BY 6 AND THEN MULTIPLY BY 6, WHat IS LeFT???

PLEASE HEP ME

Answers

Answer:

Step-by-step explanation:

y divided by  6x6=3x6

1. multiply first

 a) 6x6 = 36

  b) 3x6=18

  c) y/6 times 6 =3 x6 .....make it a fraction    Y over 6  times 6 over 1

  d)  y/6 times 6/1----cross off the two 6's

Now:  y=3x6

          y=18

6 times 6 = 36 and 6 times 3 = 18

36 = 18

So, 18 divided by y = 36

so, 18 times 36 = 648

Hence, y is divided by 648 to get 6 x 6

Abdul wants to rent a boat and spend at most $35. The boat costs $8 per hour, and Abdul has a discount coupon for $5 off. What are the possible numbers of hours Abdul coult rent the boat?
Use t for the number of hours, write your awnser as an inequality solved for t.

Answers

Answer:

Abdul can rent the boat for at most 5 hours.

Step-by-step explanation:

Let's call the number of hours Abdul rents the boat "t".

The cost of renting the boat without the discount coupon is $8 per hour, so the cost would be 8t dollars.

With the discount coupon, the cost of renting the boat would be 8t - 5 dollars.

We know that Abdul wants to spend at most $35, so we can write the inequality:

8t - 5 ≤ 35

Solving for t, we get:

8t ≤ 40

t ≤ 5

Therefore, Abdul can rent the boat for at most 5 hours.

help me with this topic pls

Answers

Answer: 235.5 yd^3

Step-by-step explanation:


Step 1. Find the radius.Remember the formula; pi * r^2 * h/3

Since the diameter is 2 times the radius, d=10, we have to split it by 2 {10/2 =5}


Step 2. Simplify. 3.14 * 5^2 * 9/3

Step 3. PEMDAS, start with exponents. 3.14 * 25 * 9/3

Step 4. PEMDAS, divide the numbers.

3.14 * 25 * 3
Step 5. Multiply 25 * 3.

3.14 * 75

Step 6. Simplify. 235.5 yd^3

Answer:

235.5 yd^3

Step-by-step explanation:

Help please I'm super confused

Answers

it's 5x

Step-by-step explanation:

there's the awnser

Ion really kno fr . I jus need points

A group of students must collect at least $120 to organize a science fair. They have already collected $20. Which graph best represents the possible amounts of money the students still need to collect? (1 point)

Number line graph with closed circle on 120 and shading to the right.

Number line graph with closed circle on 20 and shading to the right.

Number line graph with closed circle on 140 and shading to the right.

Number line graph with closed circle on 100 and shading to the right.

Answers

Answer:

Number line graph with closed circle on 80 and shading to the right.

It might be wrong, don't be surprised if it is. :\

But also hope it help. :)

hey guys my little brother needs help can you help out?
568.50 x 0.2
need help asap!!!!

Answers

Answer:113.7

Step-by-step explanation:

Answer:

113.7

Step-by-step explanation:

To calculate 20% of 568.50, you can convert 20% to a decimal by dividing it by 100.

20% ÷ 100 = 0.20

Then, you can multiply the decimal by the original value to find the answer:

0.20 x 568.50 = 113.70

Therefore, 20% of 568.50 is 113.70.

Emmitt received a $10000 loan from his uncle in order to pay for his trip to Europe next year. To pay off the loan Emmitt has agreed to work for his uncle over the summer months. Emmitt's uncle has stated that for each week Emmitt works he will knock $1000 off of the amount of money Emmitt owes his uncle. Please construct a function that represents how much Emmitt is in debt to his uncle, D, with respect to the number of weeks he has worked,w

Answers

Answer: 10,000 - 1,000w = D

Step-by-step explanation:

Answer 10000 -1000w






Easy

pls help me and answer this question for me

Answers

Answer:

Step-by-step explanation:

complementary becaus it's 90° and 90°-25°= 65°

Answer: c) Complementary, 65 degrees

Step-by-step explanation:

Complementary angle = 90 degrees

Therefore,

x+25=90

x=90-25

=65

can someone help me with this topic pls its hard to figure out.

Answers

Answer: 65.94 m^3

Step-by-step explanation:

The volume of a cone is [tex]\pi * r^2*h/3[/tex]

[tex]\pi = (3.14) || r^2 = (3^2)||h/3 = (7/3)[/tex]

Step 1. Simplify the expression.  [tex]3.14 * 9*7/3[/tex]

Step 2. Multiply 9 * 3.14. [tex]28.26 * 7/3[/tex]

Step 3. Finish simplifying. [tex]28.26 * 7/3 = 65.94[/tex]

Answer:: 65.94 m^3

Step-by-step explanation:

yolanda measures the depth of the water in a reservoir. In one week the depth changes from 2,366.74ft to 2,354.63.ft. what rational number represents the average change in the depth each day? Show your work.

Answers

Answer:

Step-by-step explanation:

To find the average change in depth each day, we need to divide the total change in depth by the number of days.

Total change in depth = 2,366.74 - 2,354.63 = 12.11 ft

Number of days = 7

Average change in depth each day = Total change in depth / Number of days

= 12.11 / 7

= 1.73 (rounded to two decimal places)

Therefore, the rational number that represents the average change in depth each day is 1.73 ft per day.

What is 482. 073 expressed in word form

Answers

Four hundred eighty-two and seventy-three thousandths

In word form 482.073 is four hundred eighty two and seventy three hundredths.

I apologize if this is incorrect. I hope you have a lovely day! :)

help me on this topic pls

Answers

Answer:

Below

Step-by-step explanation:

The volume of a cone is computed using the formula volume = 1/3 pi r^2 h

for this cone r = 5 m   h = 12 m  

Plug in the values :   volume = 1/3 * 3.14 * 5^2 * 12 = 314 m^3

Answer: 314 m^3

Step-by-step explanation:

The volume of a cone is [tex]\pi *r^2*h/3[/tex]

[tex]\pi = (3.14) *r^2 = (5^2)* h/3 = (12/3)[/tex]

Step 1. Simplify the expression.  [tex]3.14 * 25 * 12/3[/tex]

Step 2. Simplify the expression again.  [tex]3.14 *25*4[/tex]

Step 3. Multiply 25 and 4. [tex]3.14 * 100[/tex]

Step 4. Finish simplifying. [tex]314 .m^3[/tex]

Angelica’s speed is 4 cm/minute, Monique’s speed is 3. 5 cm/minute, and Courtney’s speed is 5. 5 cm/minute. Which turtle will win the race? Explain your reasoning.

Answers

Answer:

C O U R T N E Y

Step-by-step explanation:

Look at their speed… meaning;

Angelica can run 4 cm per minute

Monique can run 3.5 cm per minute

And Courtney can run 5.5 cm per minute

The longest one is the fastest one

It says “per minute (/minute) which means courtney will win he can run to 5.5 cm in just a minute, but the others is slower than her


— — — —A

— — — -M

— — — — — - C

A pattern of triangular numbers is shown. The first is 1, the second is 3, the third is 6, and so on. The formula 0.5n2 + 0.5n can be used to find the nth triangular number. Is 50 a triangular number? Explain.
(picture)

Answers

Answer:

50 is not a triangular number

Step-by-step explanation:

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 45

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 =55

The way to calculate triangle numbers is to add the corresponding number.

For example, 1 is a triangle 1 + 2 is a triangle 1 + 2 + 3 is a triangle so on and so forth.

Triangle numbers would be 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 66, 78, and 91

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