Answer: look at the image for the answer and the explanation
Step-by-step explanation:
A sculpture is made of solid nickel in the shape of a cone. The sculpture is 84 inches tall, and its base has a diameter of 16 inches. If nickel costs $2.25 per cubic inch, how much did the nickel for the sculpture cost?
Use 3.14 for pi, and do not round your answer.
The total cost of the nickel for the sculpture is $12,660.48.
We know that the volume of a cone is:
v = 1/3πr²h ......(i)
where r ⇒ radius of the cone
h ⇒ height of the cone
Now, as per the question,
r = diameter/2 = 16÷2 = 8 inches
h = 84 inches
Putting the values in equation (i)
v = 1/3 × 3.14 × (8)² × 84
v = 5626.88 cubic inch
The cost given for nickel = $2.25 per cubic inch
So, the total cost for the nickel used in making the sculpture:
the volume of cone × cost per cubic inch
5626.88 × 2.25 = $12,660.48
Therefore, the total cost for the nickel used is $12,660.48
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