Question

the volume, v, of a cone is given by the formula v = 1/3 πr²h, where r is the radius of the base and h is the height. solve the formula for the height, h. enter the expression in the response box. h = 36 / (πr²)

Explanation:

Step1: Start with volume formula

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

Step2: Isolate h

Multiply both sides by 3 to get $3V = \pi r^{2}h$. Then divide both sides by $\pi r^{2}$: $h=\frac{3V}{\pi r^{2}}$

Answer:

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