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 = (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 = (1)/(3) (3.14) (1)^(2)h`


`23 = 1.0466h`

h = 21.97 in.