An ice cream server fills a cone, which is 15.7 cm high and 7.2 cm across, with ice cream. She then tops the cone with a nicely rounded half-scoop. On top of this she puts the second scoop. To the nearest cubic centimeter, how much ice cream did you receive?

Question

An ice cream server fills a cone, which is 15.7 cm high and 7.2 cm across, with ice cream.  She then tops the cone with a nicely rounded half-scoop. On top of this she puts the second scoop.  To the nearest cubic centimeter, how much ice cream did you receive?

Reiny · Answer

The way I interpret the question:
The first scoop on the top is a half scoop, the second scoop is a full scoop ?
If the second scoop is also a half-scoop, then change the 3/2 to 1
you would have the volume of the cone + (3/2) spheres

vol = (1/3)π(3.6)^2 (15.7) + 2(4/3)π(3.6)^3
= ....
(your turn)