Question

Please help with my algebra homework and explain if you can : v= pi/3 rsquared h

Answer 1

To isolate the variable means to have it by itself on one side of the equation, where the variable equals an expression.

To isolate $h$, we will need to remove the variables and other terms "connected" to the $h$ variable:

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

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

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

By dividing terms "connected" to our $h$ variable, we have isolated it one side of the equation.