Chapter 1, Problem 2STP

To determine

To find: the equation which represents the volume of a cone.

Answer to Problem 2STP

The answer is option F.

Explanation of Solution

Given information:

The volume of a cone with height $h$ and radius $r$ can be found by multiplying one third $\pi$ by the product of the height and the square of the radius.

And

  $m=-3$ and $n=2$

Given option,

F. $V=\frac{1}{3}\pi r^{2}h$

G. $V=3\pi r^{2}h$

H. $V=\frac{1}{3}\pi rh$

J. $V=\frac{1}{3}\pi r{h}^2$

Calculation:

One third of $\pi$ is $\frac{1}{3}\pi$ .

Multiplying one third $\pi$ by the product of the height and the square of the radius is,

  $\frac{1}{3}\pi \cdot h\cdot r^2$

So, convert given sentence into mathematical symbol,

  $V=\frac{1}{3}\pi r^{2}h$

Therefore, the answer is option F.