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 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

$V=\frac{4}{3} \pi r^{3}$

Radius = 11.1 cm

To find: volume of a volleyball

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

$\text {volume of sphere }=\frac{4}{3} \pi r^{3}$

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

$\text {volume of sphere }=\frac{4}{3} \times \frac{22}{7} \times 11.1^{3}$

$\text {volume of sphere }=\frac{88}{21} \times 1367.631$

volume of sphere = 5731.025 cubic centimeter

Thus the volume of volleyball is 5731.025 cubic centimeter