Question

Given the following formula, solve for h. B2%7D%20h%20" id="TexFormula1" title=" V= \frac{1}{3} \pi r^{2} h " alt=" V= \frac{1}{3} \pi r^{2} h " align="absmiddle" class="latex-formula">

Answer 1

Answer:

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

Step-by-step explanation:

  Given : formula  $V=\frac{1}{3}\pi r^2h$

We have to solve the formula for h.

Consider the given formula $V=\frac{1}{3}\pi r^2h$    

Multiply both side by 3, we have,

$3V=\pi r^2h$

Now, divide both side by π, we get,

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

Again divide both side by r², we get,

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

Thus,  $h=\frac{3V}{\pi r^2}$

Answer 2

Multiply by the inverse of the coefficient of h.

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