Question

What is the volume of a sphere with a surface area of 9π yd2

Answer 1

Answer:
`14.13\text{ yd}^3`

Explanation:

The surface area of a sphere is given by :-

`S.A.=4\pi r^2`, where r is the radius of the sphere.

Given : Surface Area of sphere=
`9\pi\ \text{yd}^2`

By the above formula , we have

`9\pi=4\pi r^2\\\\\Rightarrow\ r^2=(9)/(4)\\\\\Rightarrow\ r=(3)/(2)=1.5\text{ yd}`

The volume of sphere is given by :-

`V=(4)/(3)\pi r^3\\\\\Rightarrow\ V=(4)/(3)(3.14)(1.5)^3=14.13\text{ yd}^3`

Hence, the volume of sphere =
`14.13\text{ yd}^3`