Acylindrical shaped drum is used to store basketballs in a gymnasium. the hollow drum measures 48 inches high with a 24 inch radius. if the radius of a basketball is 6 inches, the maximum number of basketballs that the cylindrical drum contains is (192, 48, 96)

Step-by-step explanation:

step 1

Find the volume of the cylinder (hollow drum)

The volume is equal to

we have

substitute

step 2

Find the volume of one basketball

The volume of the sphere is equal to

we have

substitute

step 3

Find the maximum number of basketballs that the cylindrical drum contains

so

Divide the volume of the cylinder by the volume of one basketball

-22

times both sides by 2, times () by 8, add alile terms, move terms, add alike and caculate divide both sides by 3

111

step-by-step explanation: