Solve 1/3pi{left(2sqrt{3}right)}^22

$$\frac{ 1 }{ 3 } \pi { \left(2 \sqrt{ 3 } \right) }^{ 2 } 2$$

Evaluate

$$8\pi \approx 25.132741229$$

Solution Steps

Multiply 2 and \frac{1}{3} to get \frac{2}{3}.

$$\frac{2}{3}\pi \times \left(2\sqrt{3}\right)^{2}$$

Expand \left(2\sqrt{3}\right)^{2}.

$$\frac{2}{3}\pi \times 2^{2}\left(\sqrt{3}\right)^{2}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{2}{3}\pi \times 4\left(\sqrt{3}\right)^{2}$$

The square of \sqrt{3} is 3.

$$\frac{2}{3}\pi \times 4\times 3$$

Multiply 4 and 3 to get 12.

$$\frac{2}{3}\pi \times 12$$

Multiply \frac{2}{3} and 12 to get 8.

$$8\pi$$

Expand

$$8\pi$$

Solution Steps

Multiply 2 and \frac{1}{3} to get \frac{2}{3}.

$$\frac{2}{3}\pi \times \left(2\sqrt{3}\right)^{2}$$

Expand \left(2\sqrt{3}\right)^{2}.

$$\frac{2}{3}\pi \times 2^{2}\left(\sqrt{3}\right)^{2}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{2}{3}\pi \times 4\left(\sqrt{3}\right)^{2}$$

The square of \sqrt{3} is 3.

$$\frac{2}{3}\pi \times 4\times 3$$

Multiply 4 and 3 to get 12.

$$\frac{2}{3}\pi \times 12$$

Multiply \frac{2}{3} and 12 to get 8.

$$8\pi$$