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

Answer:

8 feet

Step-by-step explanation:

Hello, I can help you with this.

the volume of a sphere is given by.

$Volume= \frac{4}{3} \ \pi\ radius^{3}$

Step one

isolate radius

$\frac{3}{4}* volume= \pi\ radius^{3}\\\\\\\ \frac{3}{4 \pi }* volume=radius^{3}\\radius=\sqrt[3]{\frac{3}{4 \pi }* volume}$

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

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

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.