My parents have bought my brother and me an ice cream cone to share between the two. The cone is shaped like a cone with 8 cm in diameter and 8 centimeters in height. The cone is filled with ice cream and topped by a hemisphere of the same ice cream.

My brother proposes to eat the ball and give me the ice cream left inside the cone.

If we despise the thickness of the cone itself,

**Who will eat more ice cream?**

#### Solution

The formula for the volume of the sphere is as follows:

The cone volume formula is:

If we substitute the values of the statement (r = 4 in the sphere and r = 4, h = 8 in the cone) we have that in both cases the volume is the same. Thus **we will both eat exactly the same amount of ice cream** although I will also stay with the cone.