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 4 inches, and the height of the cone is 6 inches. If the diameter of the bubble gum is 0.8 inches, which of the following can be used to calculate the volume of the cone that can be filled with flavored ice?
A. 1/3 (3.14)(6²)(4) - 4/3 (3.14)(0.4³).
B. 1/3 (3.14)(4²)(6) - 4/3 (3.14)(0.4³).
C. 1/3 (3.14)(6²)(4) - 4/3 (3.14)(0.8³).
D. 1/3 (3.14)(4²)(6) - 4/3 (3.14)(0.8³).

Question

Answered

Answer :

nahit5754 nahit5754 · Answer 1 · 2024-07-15T04:56:03-04:00

Answer:

The correct answer is B. 1/3 (3.14)(4²)(6) - 4/3 (3.14)(0.4³).

Here's why:

- The volume of a cone is given by the formula (1/3)πr²h, where r is the radius and h is the height.

- The radius of the snow cone is 4 inches, and the height is 6 inches.

- The volume of the cone that can be filled with flavored ice is the volume of the entire cone minus the volume of the bubble gum.

- The diameter of the bubble gum is 0.8 inches, so the radius is 0.4 inches (half of the diameter).

- Plugging in the values, we get:

- Volume of the cone: (1/3)π(4²)(6) = (1/3)π(16)(6)

- Volume of the bubble gum: (4/3)π(0.4³)

- Volume of the cone that can be filled with flavored ice: (1/3)π(16)(6) - (4/3)π(0.4³)

So, the correct answer is B. 1/3 (3.14)(4²)(6) - 4/3 (3.14)(0.4³).