Question

The formula for the volume of w sphere is v=4\3 r3 what is the formula solved for r?

Answer 1

V of w sphere = $\frac{4}{3}$$\pi$r³
Multiply by 3 on either sides to get rid of the fraction.
$V * 3 = \frac{4}{3} *3 \pi r^3$
3V = 4$\pi$r³
Now divide either sides by 4$\pi$ to isolate r³
$\frac{3V}{4 \pi } = \frac{4 \pi }{4 \pi }$r³
4$\pi$ and 4$\pi$ cancels out
$\frac{3V}{4 \pi }$ = r³
Take the cube root to isolate r.
$\sqrt[3]{ \frac{3V}{4 \pi } } = \sqrt[3]{r^3}$
the cube root cancels the cube

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