Question

A regulation basketball has a diameter of about 9 inches. What is the best approximation of the volume of the ball?

3050 in3

84.8 in3

382 in3

215 in3

Answer 1

382 in3

Just look up volume of a sphere and a thing comes up all you have to put in is the radius (aka half of 9 which is 4.5) You're welcome.

Answer 2

Answer: The correct option is (C) 382 in³.

Step-by-step explanation: Given that a regulation basketball has a diameter of about 9 inches.

We are to select the best approximation of the volume of the ball.

We know that basketball is of the shape of a SPHERE.

The VOLUME of a sphere with radius 'r' units is given by the formula:

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

The diameter of the basketball is about 9 inches, so its approximate radius will be

`r=(9)/(2)=4.5~\textup{inches}.`

Therefore, the approximate volume of the basketball is

`V\\\\\\=(4)/(3)\pi r^3\\\\\\=(4)/(3)* 3.14* (4.5)^3\\\\\\=(4*3.14* 91.125)/(3)\\\\\\=381.51~\textup{in}^3~\textup{[approx.]}\sim 382~\textup{in}^3.`

Thus, the best approximation of the volume of the ball is 382 in³.

Thus, (C) is the correct option.