Question

What is volume with diameter of 9

Answer 1

Answer: 972π m³

Step-by-step explanation: To find the volume of a sphere, start with the formula for the volume of a sphere which is shown below.

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

Here, notice that our sphere has a radius of 9 meters.

So plugging into the formula, we have
`((4)/(3))(\pi)(9 m)^(3)`.

Start by simplifying the exponent.

(9m)³ is equal to 9 meters x 9 meters x 9 meters or 729 m³.

So we have
`((4)/(3))(729m^(3))(\pi)`.

Notice that we can cross cancel 3 in 4/3 and 729 to 1 and 243.

So we have
`(4)(243 m^(3))` which is equal to 972 m³.

So we have 972π m³.

So the volume of the sphere shown here is 972π m³.

Answer 2

972π m^3

Explanation:

The formula for calculating volume of a sphere is : 4/3×π×r^3 (r: radius)

4/3 × π × 9^3 = 972π m^3