# Help..what is 2(4\3 πr^²)?

May 2, 2018

$\frac{8}{3} \pi {r}^{2}$, $8.37 {r}^{2}$, or $8.38 {r}^{2}$, depending on if you use a value for pi (either 3.14 or pi on a calculator)

#### Explanation:

$2 \left(\frac{4}{3} \pi {r}^{2}\right)$ First let's distribute the 2.
$\frac{8}{3} \pi {r}^{2}$

From here, there are 3 options:

1. Leave the pi as $\pi$, and the above value is your answer.
2. Use 3.14 as $\pi$, which will produce $\frac{628}{75} {r}^{2}$, or roughly $8.37 {r}^{2}$.
3. Use a calculator for $\pi$, which will produce roughly $8.38 {r}^{2}$.