Question

The volume of the giant beach ball is approximately 267.95 feet^3 . Find the diameter of the ball. Use 3.14 for pie.

Answer 1

8 feet

Explanation:

Hello, I can help you with this.

the volume of a sphere is given by.

`Volume= (4)/(3) \ \pi\ radius^(3)\\\\`

Step one

isolate radius

`(3)/(4)* volume= \pi\ radius^(3)\\\\\\\ (3)/(4 \pi )* volume=radius^(3)\\radius=\sqrt[3]{(3)/(4 \pi )* volume}`

According to the question the volume is 267.95 cubic feet , and pi= 3.14

put this values into the equation

let

volume =267.95

pi=3.14

`volume=radius^(3)\\radius=\sqrt[3]{(3)/(4 \pi )* volume}\\radius=\sqrt[3]{(3)/((4 *3.14) )*267.95}\\radius=\sqrt[3]{64}\\\\radius=4`

so the radius of the beach ball is 4 feet, but we need its diameter

Diameter=2* radius

radius=4 feet

Diameter= 4 feet*2

Diameter=8 feet

what a big ball¡¡

I hope it helps, have a great day.