Question

the diameter of a spherical basketball is 10 inches what is the volume of the basketball give the exact solution or round your answer to the nearest cubic inch. plzzzzzz!!!! urgent!!!!!!!

Answer 1

Volume of a sphere is 4/3(pi r ^3)

You were given d = 10 so r = 5

Then just plug and chug

Answer 2

Exact volume:

`\displaystyle(500)/(3)\pi \text{ in}^3`

Rounded volume: 524 cubic inches.

Step-by-step solution:

The formula for the volume of a sphere is:

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

Where r is the radius of the sphere.

The radius is half the diameter, therefore it is r=10/2=5

We plug it into the formula and we get:

`\displaystyle V=(4)/(3)\pi (5)^3`

Then we get:

`\displaystyle V=(4)/(3)\pi (125)=(500)/(3)\pi`

If we do it in our calculator we get 523.599 that rounded to the nearest whole is 524 cubic inches .