Question

Find the the volume of a sphere if the surface area is 484pie cm^2Formula: V= 4/3 * 3.14 * r^3

Answer 1

The surface area of an sphere is given by the expression

`A=4\pi r^2`

Since wer know the surface area, we can solve this expression for the radius, calculate it and then use it in the formula for volume given, as following:

`\begin{gathered} A=4\pi r^2\rightarrow(A)/(4\pi)=r^2 \\ \\ \Rightarrow r=\sqrt[]{(A)/(4\pi)} \end{gathered}`
`\rightarrow r=\sqrt[]{(484\pi)/(4\pi)}\rightarrow r=11`

Therefore, the correct answer is:

Option 2