Question

V = 1/3πr²h; solve for h

Answer 1

`\displaystyle{h = (3V)/(\pi r^2)}`

Explanation:

Given the equation of:

`\displaystyle{V=(1)/(3)\pi r^2 h}`

The equation is also reference to volume of a cone. To solve an equation for h-term, we’ll multiply both sides by 3 first to clear all denominator:

`\displaystyle{V \cdot 3 = (1)/(3)\pi r^2 h \cdot 3}\\\\\displaystyle{3V = \pi r^2 h}`

Then divide both sides by
`\displaystyle{\pi r^2}`:

`\displaystyle{(3V)/(\pi r^2)=(\pi r^2 h)/(\pi r^2)}\\\\\displaystyle{h = (3V)/(\pi r^2)}`