Question

question
create an equation that could be used to find the volume, v, of the soccer ball.
type the correct answer in the box.
part b
question
rewrite the volume formula to create an equation that can be used to calculate the radius, r, of the soccer ball.
drag the terms to the correct locations in the equation. not all terms will be used.

Explanation:

Step1: Recall the volume formula for a sphere

The volume formula of a sphere is \(V=\frac{4}{3}\pi r^{3}\).

Step2: Solve the formula for \(r\)

Multiply both sides of the equation \(V = \frac{4}{3}\pi r^{3}\) by \(\frac{3}{4\pi}\) to get \(r^{3}=\frac{3V}{4\pi}\). Then take the cube - root of both sides: \(r=\sqrt[3]{\frac{3V}{4\pi}}\).

Answer:

\(r=\sqrt[3]{\frac{3V}{4\pi}}\)