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? 1 over 3(3.14)(102)(6) − 4 over 3(3.14)(1.53) 1 over 3(3.14)(62)(10) − 4 over 3(3.14)(1.53) 1 over 3(3.14)(102)(6) − 4 over 3(3.14)(0.753) 1 over 3(3.14)(62)(10) − 4 over 3(3.14)(0.753)
Accepted Solution
A:
Answer:V = 1/3 pi (6)^2 *10 - 4/3 pi (.75)^3 Step-by-step explanation:Find the volume of the cone without the bubble gumThe radius is 6 inches and the height is 10V =1/3 pi r^2 hV = 1/3 pi (6)^2 *10Now find the volume of the sphere with the bubble gumThe diameter is 1.5 inches That means the radius is 1.5/2 = .75V =4/3 pi r^3 hV = 4/3 pi (.75)^3 Take the volume of the cone and subtract the volume of the bubble gumV = 1/3 pi (6)^2 *10 - 4/3 pi (.75)^3