Question

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

Answer 1

$16725.21

Explanation:

The first thing is to calculate the cone volume, because they give us the value of copper in cubic inches.

We have that the volume of a cone is:

v = pi / 3 * (r ^ 2) * h

we know these values r = 15 and h = 67

v = (3.14 / 3) * (15 ^ 2) * (67)

v = 15778.5

the volume then is 15778.5 cubic inches, now we multiply this value by the price which is $ 1.06 per cubic inch:

c = 15778.5 * 1.06

c = 16725.21

Therefore the value of copper was $ 16725.21