Solve V=4/3pileft(3rright)^3

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

Solve for V

$$V=36\pi r^{3}$$

Solution Steps

Expand \left(3r\right)^{3}.

$$V=\frac{4}{3}\pi \times 3^{3}r^{3}$$

Calculate 3 to the power of 3 and get 27.

$$V=\frac{4}{3}\pi \times 27r^{3}$$

Multiply \frac{4}{3} and 27 to get 36.

$$V=36\pi r^{3}$$

Solve for r

$$r=\frac{36^{\frac{2}{3}}\sqrt[3]{\frac{V}{\pi }}}{36}$$