Question

2. A scoop of ice cream in the shape of a whole perfect sphere sits in a right cone.

Answer 1

Answer:

10 cm.

Step-by-step explanation:

The volume of the cone must be equal to the volume of the sphere for there to be no spillage.

The volume of the sphere = 4/3 π r^3 cm^3

= 4/3 * 2.5^3 π  cm^3

The volume of the cone = 1/3 π 2.5^2 h  where h is the height of the cone.

So:   4/3 * 2.5^3 π  =  1/3 π 2.5^2  h

h =  (4/3 * 2.5^3) π  /  (1/3 *2.5^2)π

= 4 * 2.5

= 10 cm.