Solve frac{4pisqrt{3}}{9}*frac{2sqrt{3}}{3}*1/2

$$\frac { 4 \pi \sqrt { 3 } } { 9 } \cdot \frac { 2 \sqrt { 3 } } { 3 } \cdot \frac { 1 } { 2 }$$

Evaluate

$$\frac{4\pi }{9}\approx 1.396263402$$

Solution Steps

Multiply \frac{4\pi \sqrt{3}}{9} times \frac{2\sqrt{3}}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\pi \sqrt{3}\times 2\sqrt{3}}{9\times 3}\times \frac{1}{2}$$

Multiply \frac{4\pi \sqrt{3}\times 2\sqrt{3}}{9\times 3} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\pi \sqrt{3}\times 2\sqrt{3}}{9\times 3\times 2}$$

Cancel out 2 in both numerator and denominator.

$$\frac{2\times 2\pi \sqrt{3}\sqrt{3}}{3\times 9}$$

Multiply \sqrt{3} and \sqrt{3} to get 3.

$$\frac{2\times 2\pi \times 3}{3\times 9}$$

Cancel out 3 in both numerator and denominator.

$$\frac{2\times 2\pi }{9}$$

Multiply 2 and 2 to get 4.

$$\frac{4\pi }{9}$$