Question

If a cone-shaped water cup holds 23 in.³ has a radius of 1 inch, what is the height of the cup? Use 3.14 for pi. Round your answer to the nearest hundredth.

Answer 1

Volume of the cone is 23 in^3. = (1/3)pi r^2 h.
Given r=1, pi=3.14
so we have
(1/3)(3.14)1^2 h=23
h=23/((1/3)(3.14)1^2)
=21.97
=22 in. (approx.)