Solve 4pi3^3/3/2div10000

$$\frac{ \frac{ 4 \pi { 3 }^{ 3 } }{ 3 } }{ 2 } \div 10000$$

Evaluate

$$\frac{9\pi }{5000}\approx 0.005654867$$

Solution Steps

Express \frac{\frac{\frac{4\pi \times 3^{3}}{3}}{2}}{10000} as a single fraction.

$$\frac{\frac{4\pi \times 3^{3}}{3}}{2\times 10000}$$

Calculate 3 to the power of 3 and get 27.

$$\frac{\frac{4\pi \times 27}{3}}{2\times 10000}$$

Multiply 4 and 27 to get 108.

$$\frac{\frac{108\pi }{3}}{2\times 10000}$$

Divide 108\pi by 3 to get 36\pi .

$$\frac{36\pi }{2\times 10000}$$

Multiply 2 and 10000 to get 20000.

$$\frac{36\pi }{20000}$$

Divide 36\pi by 20000 to get \frac{9}{5000}\pi .

$$\frac{9}{5000}\pi$$