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 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? 1 over 3(3.14)(22)(3) − 4 over 3(3.14)(0.253)
1 over 3(3.14)(32)(2) − 4 over 3(3.14)(0.253)
1 over 3(3.14)(22)(3) − 4 over 3(3.14)(0.53)
1 over 3(3.14)(32)(2) − 4 over 3(3.14)(0.53)

A. (3.14)( 3) - (3.14)

Step-by-step explanation:

volume of the cone that can be filled with flavored ice = volume of cone - volume of the bubble gum

volume of cone = h

where r is the radius of the cone and h is its height.

volume of cone = x 3.14 x x 3

                          = 12.56 cube inches

volume of a sphere =

where r is the radius of the sphere.

radius =

          =

radius = 0.25 inches

So that;

volume of the bubble gum = x 3.14 x

                                 = 0.06542 cube inches

Thus,

volume of the cone that can be filled with flavored ice = 12.56 - 0.06542

                                                            = 12.49458

The volume of the cone that can be filled with flavored ice is 12.5 cube inches.

the correct option is b

step-by-step explanation: