Answer:
6 inches
Step-by-step explanation:
The formula for the volume of a sphere is ...
V = (4/3)πr^3
The formula for the volume of a cone is ...
V = (1/3)πr^2h
The volumes will be equal when their ratio is 1:
(4/3πr^3)/(1/3πr^2h) = 1
4r/h = 1 . . . . simplify
4r = h = 4(1.5 in) = 6 in . . . . . multiply by h, substitute given values
The height of the cone must be 6 inches to hold the volume of the spherical scoop of ice cream.
