Question

The volume of a sphere whose diameter is 18 centimeters is how many cubic centiemters

Answer 1

3053.63 cm^3

Explanation:

Volumme of a sphere =
`(4)/(3)\pi*r^3.`

We do not have the radius of the sphere, but we have its diameter.

We know that there is a relationship between radius and diameter.

`d = 2r\\r = (d)/(2)`

Then the formula of the volume of a sphere according to its diameter is:

`(4)/(3)\pi ((d)/(2)) ^ 3\\\\(4)/(3)\pi(9)^3 = 972\pi = 3053.63 cm^3\\\\`