jmc

Question

An ice cream scoop scoops out ice cream spheres with radius 1 inch. If the ice cream scoops are allowed to melt into the cone, then how many scoops are needed to fill an ice cream cone with radius 2 inches and height 5 inches?

Accepted Answer

Each ice cream sphere has volume 43 (1^3) = 43 cubic inches. The ice cream cone holds 13 (2^2)(5) = 203 cubic inches. 20343 = 5, so we need 5 scoops to fill the cone.