Question

Given the following formula, solve for h.

V = 1/3 pie-r ^2h

a. h= 3v pie-r ^2
b. h= 3v/ 3 pie-r ^2
c. h= v/3 pie-r ^2
d. h= 1/3 pie-r ^2h

Answer 1

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

Explanation:

`V=(1)/(3)\pi r^2h\to\text{It's the formula of a volume of a cone}\\\\\text{Solve for}\ h:\\\\(1)/(3)\pi r^2h=V\qquad\text{multiply both sides by 3}\\\\\pi r^2h=3V\qquad\text{divide both sides by}\ \pi r^2\\\\h=(3V)/(\pi r^2)`