Chapter 3, Problem 31CCSR

To determine

To solve : the equation for h.

Answer to Problem 31CCSR

  $h=\frac{3V}{\pi r^2}$

Explanation of Solution

Given information: The volume V of a cone with radius r and height h is represented by the formula $V=\frac{1}{3}\pi r^{2}h$ .

Calculation:

The volume V of cone with radius r and height h is

  $V=\frac{1}{3}\pi r^{2}h$

Multiplying both sides of the equation by 3, we get

  $3V=\pi r^{2}h$

Now, dividing by $\pi r^2$ , we get

  $\frac{3V}{\pi r^2}=h$

Thus, solution of given equation for h , we get

  $h=\frac{3V}{\pi r^2}$