Question

What is the volume of a sphere whose radius is 6 ft?

48π ft3


324π ft3


288π ft3


144π ft3

Answer 1

The volume of the sphere is option 3. 288π ft³.

Explanation:

Step 1:

The given sphere has a radius of 6 ft.

The volume of a sphere is given by multiplying
`(4)/(3)` with π and the cube of the radius (r³).

The volume of a sphere,
`V = (4)/(3) \pi r^(3) .`

Step 2:

Here the radius r is 6 inches. We take π as itself.

The volume of a full sphere,
`V = (4)/(3) (\pi)(6^(3) ).`

`(4)/(3) (\pi)(6^(3) ) = 288 \pi` ft³.

The volume of the sphere is 288π ft³, This is the third given option.