Question

The volume of a sphere is a function of its​ radius, V=4/3 πr^3 Evaluate the function for the volume of a volleyball with radius 11.1 cm.

Answer 1

The volume of the volleyball with a radius of 11.1 cm is approximately 4,718.583 cm³.

Step-by-step explanation:

The volume of a sphere is given by the formula V = (4/3)πr³. To evaluate the function for the volume of a volleyball with a radius of 11.1 cm, we substitute the value of r into the formula:

V = (4/3)π(11.1)^3

Calculating this expression, we get:

V ≈ 4,718.583 cm³

Answer 2

The volume of a volleyball with radius 11.1 cm is 5731.025 cubic centimeter

Solution:

Given that volume of a sphere is a function of its​ radius

`V=(4)/(3) \pi r^(3)`

Radius = 11.1 cm

To find: volume of a volleyball

Since volleyball is generally of spherical shape, we can use volume of sphere formula

`\text {volume of sphere }=(4)/(3) \pi r^(3)`

Where "r" is the radius of sphere and
`\pi` is a constant which has value 3.14

Substituting the given radius r = 11.1 cm

`\text {volume of sphere }=(4)/(3) * (22)/(7) * 11.1^(3)`

`\text {volume of sphere }=(88)/(21) * 1367.631`

volume of sphere = 5731.025 cubic centimeter

Thus the volume of volleyball is 5731.025 cubic centimeter