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 π, and do not round your answer.

Explanation:

Step1: Calculate the volume of the cone

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

Step2: Calculate the cost

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

Answer:

$12660.48$