Acompany is selling two different sized medicine balls to a local colleges athletic department the ratio of the diameters 15: 11 if the diameter of the smaller ball is 55cm what is the volume of the larger ball? round the nearest tenth and use 3.14 for pi.

Volume of larger ball = 220,781.3 cubic centimeters

Step-by-step explanation:

Let's use ratios to solve for the diameter of the larger ball first (let the diameter of larger ball be L)

So, the diameter of the larger ball is 75 cm. We know radius is half of diameter, so radius of larger ball is (1/2)(75) = 37.5 cm

Ball is in the shape of a sphere, which has a formula for volume as:

where V is the volume and r is the radius

now we simply plug in 37.5 into r and use 3.14 as π:

$30.32

step-by-step explanation:

65.00*.12=2.80

65.00-2.80=57.20

57.20*1.06=60.632

60.632/2=30.316