Question

a sculpture is made of solid nickel in the shape of a cone. the sculpture is 84 inches tall, and its base has a radius of 8 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.

Explanation:

Step1: Calculate cone volume

The volume formula for a cone is $V=\frac{1}{3}\pi r^{2}h$. Given $r = 8$ inches, $h=84$ inches and $\pi = 3.14$. So $V=\frac{1}{3}\times3.14\times8^{2}\times84$.
$V=\frac{1}{3}\times3.14\times64\times84$
$V = 3.14\times64\times28$
$V=3.14\times1792$
$V = 5626.88$ cubic - inches.

Step2: Calculate cost

Nickel costs $2.25$ per cubic - inch. Multiply the volume by the cost per cubic - inch. Cost $=2.25\times V$.
Cost $=2.25\times5626.88$
Cost $ = 12660.48$.

Answer:

$12660.48$