Question

A large waffle cone has a height of 7.25 inches and a diameter of 3.25 inches. Two scoops of sorbet are placed on the wide end of the cone. The scoops are spheres with a diameter of 3.25 inches. If all the sorbet melts into the cone, will the cone overflow? Show all of your work.

My answer is no but I'm having a hard time showing my work for it.
Any advice or a hint?

Answer 1

volume of cone = (1/3)π r^2 h
= (1/3)π (1.625)^2 (7.25) = ... cubic inches

volume of 2 balls
= 2(4/3)π r^3
= (8/3)π (1.625)^3 = ....

compare your two answers

Answer 2

I will, thank you