Chapter 12, Problem 4PT

To determine

To calculate:To find the volume of the conewith radius $6$ $m$ and height $8$ $m$ .

Answer to Problem 4PT

The volume of the Cone is $301.44$ $m^3$ .

Explanation of Solution

Given information:

Given Cone with

Radius $=$ $6$ $m$

Height $=$ $8$ $m$

Formula Used:

Volume of a Cone is given by:

  $V=\frac{1}{3}\pi r^{2}h$ ; where

  $r$ is the radius

  $h$ is the height.

Calculation:

Given Cone with

Radius $=$ $6$ $m$

Height $=$ $8$ $m$

Substituting the values in above equation, we have:

  $V=\frac{1}{3}\times 3.14\times 6^2\times 8$

Solving the above equation, we have:

  $V=301.44$

Thus, the volume of the Cone is $301.44$ m:math>m3 .

Conclusion:

The volume of the Cone is $301.44$ $m^3$ .