Question

A spherical ball just fits inside a cylindrical can, 20 centimeters tall, with a diameter of 20 centimeters. Which expression gives the volume of the sphere, in cubic centimeters?

Answer 1

Answer:

B. $\frac{4}{3}\pi (10)^3$

Step-by-step explanation:

Given:

A spherical ball just fits inside a cylindrical can, 20 centimeters tall, with a diameter of 20 centimeters.

diameter of Sphere = 20 centimeters

hence radius = half of diameter = $\frac{1}{2}\times 20 = 10\ cm$

Hence we need to find the volume of sphere.

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

Here r is the radius of the circle.

Hence Volume of sphere = $\frac{4}{3}\pi (10)^3$

Hence Option B $\frac{4}{3}\pi (10)^3$ is the correct answer.