### Home > CC2MN > Chapter 11 > Lesson 11.1.4 > Problem11-54

11-54.

If the volume of a sphere is $113.04 \text{ ft}^{3}$, write and solve an equation to find the radius.

The formula to find the volume of a sphere is $V = \frac{4}{3}\pi\:r^3$.

How would you undo an exponent?

$113.04\; =\; \frac{4}{3}\pi {\it r}^3$

$\frac{\left(113.04\right)\left(3\right)}{4\pi }={\it r}^3$

$26.99\; \approx\; {\it r}^3$

$\sqrt[3]{26.99}\approx\; \it r$

$3 \approx \it r$

The radius is $3$ ft.