Question

Find the height of a cone with a volume of 942 cubic units and a radius of 10 units

Answer 1

Volume of a cone: $\frac{1}{3}$$\pi$r²h
Plug the radius and volume in the formula.

$\frac{1}{3}$$\pi$10²h = 942
Divide both sides by $\frac{1}{3}$.

$\pi$10²h = 2,826
Divide both sides by pi.

10²h = 900
Divide both sides by 10² (100).

h = 9

The cone's height is 9 units.