Question

what is the radius of a basketball if the volume is 11488.2 cm? round your answer the the nearest whole number. use 3.14 as π .

Answer 1

The radius of the basketball is 20 cm.

Explanation:

The formula for the volume of a sphere is V = (4/3)πr^3, where V is the volume and r is the radius.

We are given that the volume of the basketball is 11488.2 cm, so we can set up the equation:

• 11488.2 = (4/3)πr^3

Simplifying, we get:

• (4/3)πr^3 = 11488.2

Dividing both sides by (4/3)π, we get:

• r^3 = 11488.2 / (4/3)π
• r^3 = 7239.79

Taking the cube root of both sides, we get:

• r ≈ 20

Rounding to the nearest whole number, the radius of the basketball is 20 cm.