Question

Snowy's Snow Cones has a special bubble gum snow cone on sale. The cone is a regular snow cone that has a spherical plece of bubble gum nested at the bottom
of the cone. The radius of the snow cone is 2 inches, and the height of the cone is 3 inches. If the diameter of the bubble gum is 0.5 inches, which of the following
can be used to calculate the volume of the cone that can be filled with flavored ice?
03 (3.141213) - 13.140.259
0313.141312) - (3.1410.259
0313.141213) - 13.1410.59
0343.141312) – 13.1410.59

Answer 1

Draw a diagram to illustrate the problem as shown below.

Calculate the volume of the empty cone.

V₁ = (1/3)π*(6 in)²*(10 in) = 120π in³

Calculate the volume of the sphere.

V₂ = (4/3)π*(1.5 in)³ = 4.5π in³

The volume that can be filled with flavored ice is

V = V₁ - V₂ = 115.5π in³ = 362.85 in³

Answer:

The volume is 115.5π in³ or 362.9 in³ (nearest tenth)