Question

a sculpture is made of solid tin in the shape of a cone. the sculpture is 70 inches tall, and its base has a radius of 9 inches. if tin costs $1.75 per cubic inch, how much did the tin for the sculpture cost? use 3.14 for π, and do not round your answer.

Explanation:

Step1: Calculate the volume of the cone

The formula for the volume of a cone is $V=\frac{1}{3}\pi r^{2}h$. Given $r = 9$ inches, $h=70$ inches, and $\pi = 3.14$.
Substitute the values into the formula:
$V=\frac{1}{3}\times3.14\times9^{2}\times70$
$=\frac{1}{3}\times3.14\times81\times70$
$=3.14\times27\times70$
$=3.14\times1890$
$=5934.6$ cubic inches.

Step2: Calculate the cost

Since tin costs $1.75$ per cubic inch, multiply the volume by the cost per - cubic inch.
Cost $=5934.6\times1.75$
$=10385.55$

Answer:

$10385.55$