Question

If a cone shaped water cup holds 23 in.³ and has a radius of 1 inch what is the height of the cup use 3.14 for pie round into the nearest hundredth

Answer 1

The voolume of a cone is given by the formula:

$V = \frac{1}{3} \pi r^{2}h$

You know the volume, the radius, and pi. Substitute those values into the formula and solve for h, the height.

$23 = \frac{1}{3} (3.14) (1)^{2}h$

$23 = 1.0466h$

h = 21.97 in.