Snowy's Snow Cones has a special bubble gum snow cone on sale. The cone is a regular snow cone that has a spherical piece of bubble gum nested at the bottom of the cone. The radius of the snow cone is 6 inches, and the height of the cone is 10 inches. If the diameter of the bubble gum is 1.5 inches, which of the following can be used to calculate the volume of the cone that can be filled with flavored ice?

Question

Gerald Boone

Mathematics

21 July, 09:10

Snowy's Snow Cones has a special bubble gum snow cone on sale. The cone is a regular snow cone that has a spherical piece of bubble gum nested at the bottom of the cone. The radius of the snow cone is 6 inches, and the height of the cone is 10 inches. If the diameter of the bubble gum is 1.5 inches, which of the following can be used to calculate the volume of the cone that can be filled with flavored ice?

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Answers (1)

Know the Answer?

Diana Stewart · 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:

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