Question

A cone with radius 12 inches and height 9 inches is shown. Enter the volume of the cone, in cubic inches. Round your answer to the nearest hundredth.

Answer 1

EXPLANATION:

Given;

We are given a cone with the following dimensions;

$\begin{gathered} radius=12in \\ height=9in \end{gathered}$

Required;

We are required to calculate the volume of the cone.

Step-by-step solution;

To calculate the volume of a cone, we use the following formula;

$\begin{gathered} Volume\text{ }of\text{ }a\text{ }cone: \\ Volume=\pi r^2\frac{h}{3} \end{gathered}$

With the values provided, we can substitute and calculate as follows;

$Volume=3.14\times12^2\times\frac{9}{3}$$Volume=3.14\times144\times3$$Volume=1356.48$

Rounded to the nearest hundredth, the volume is;

ANSWER:

$Vol=1356.48in^3$