Question

A sculpture is made of solid copper in the shape of a cone. The sculpture is 67 inches tall, and its base has a radius of 15 inches. If copper costs 1.06$ per cubic inch, how much did the copper for the sculpture cost?

Use 3.14 for Pi, and do not round your answer.

Answer 1

$16,725.21

Explanation:

To get the cost of the copper used for the sculpture, we must first determine the volume of the object which is given as a cone

Recall that the volume V of a cone

= 1/3Pir^2h

where r is the base radius and h is the height

Given that the sculpture is 67 inches tall, and its base has a radius of 15 inches, the volume of the sculpture

= 1/3 * 3.14 * 15^2 * 67

= 15,778.5 cubic inch

If copper costs 1.06$ per cubic inch, then the cost of the copper for the sculpture

= 15,778.5 * 1.06

= $16,725.21