Question

The formula for the volume of a cone is V=\frac{1}{3}\pi r^2 h,V=

3

1

​

πr

2

h, where rr is the radius of the cone and hh is the height of the cone. Rewrite the formula to solve for hh in terms of rr and V.V.

Answer 1

3V/ (pi r^2) = h

Explanation:

V = 1/3 pi r^2 h

Solve for h

Multiply each side by 3

3V = 3 * 1/3 pi r^2 h

3V = pi r^2 h

Divide each side by pi r^2

3V/ (pi r^2) = pi r^2 h/ ( pi r^2)

3V/ (pi r^2) = h