Question

Snowy's Snow Cones has a special bubble gum snow cone on sale. The cone is a regular snow cone with a spherical piece of bubble gum nested at the bottom. The radius of the snow cone is 3 inches, the height of the cone is 5 inches, and the diameter of the bubble gum is 1.1 inches. Which formula can be used to calculate the volume of the cone that can be filled with flavored ice?

(A) ( 1/3 times pi times 3^2 times 5 - 4/3 times pi times 1.1^3 )
(B) ( 1/3 times pi times 5^2 times 3 - 4/3 times pi times 1.1^3 )
(C) ( 1/3 times pi times 3^2 times 5 - 4/3 times pi times 0.553^3 )
(D) ( 1/3 times pi times 5^2 times 3 - 4/3 times pi times 0.553^3 )

Answer 1

The formula that can be used to calculate the volume of the cone that can be filled with flavored ice is option (B) ( 1/3 * π * 5^2 * 3 - 4/3 * π * 1.1^3 ).

Step-by-step explanation:

The formula that can be used to calculate the volume of the cone that can be filled with flavored ice is option (B) ( 1/3 × π × 52 × 3 - 4/3 × π × 1.13 ). To find the volume of the cone, we use the formula V = (1/3) × π × r2 × h, where r is the radius of the cone and h is the height of the cone. Substituting the given values, we get V = (1/3) × π × 32 × 5. Then, we subtract the volume of the bubble gum, which is a sphere, using the formula V = (4/3) × π × r3. Substituting the given radius, we get V = (4/3) × π × 1.13.