CPM Homework Help : CC3 Problem 10-56

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

Hint:

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

More Help:

How would you undo an exponent?

Step 1:

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

Step 2:

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

Step 3:

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

Step 4:

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

Step 5:

$3 \approx \it r$

Answer:

The radius is $3$ ft.