The A company is selling two different sized medicine balls to a local college's athletic department. ratio of the diameters is 15: 11. If the diameter of the smaller ball is 55 cm, what is the volume of the larger ball?

Volume of the larger ball = 220893.233 cm^3

Step-by-step explanation:

The ratio of the diameter is

r = 15/11

r = larger diameter / smaller diameter

r = larger diameter / 55 cm

larger diameter = r*55 cm

larger diameter = 75 cm

larger radius = larger diameter/2 = 37.5 cm

Volume of the ball = (4/3) * π*radius^ (3)

Volume of the ball = (4/3) * π * (37.5 cm) ^ (3)

Volume of the larger ball = 220893.233 cm^3