Question

Solve the formula

V= 1/3•3.14•r^2h for h

A) 1/3r^2V

B) 3V/3.14r^2

C) 3 3.14r^2V

D) V/3 3.14r^2

Answer 1

`\large\boxed{B)\ (3V)/(3.14r^2)}`

Explanation:

`(1)/(3)\cdot3.14\cdot r^2h=V\\\\(3.14)/(3)r^2h=V\qquad\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup^1\cdot(3.14)/(3\!\!\!\!\diagup_1)r^2h=3V\\\\3.14r^2h=3V\qquad\text{divide both sides by}\ 3.14r^2\\\\h=(3V)/(3.14r^2)`