Solve =4/3pi(20)^3-4/3pi(12)^3

$$= \frac { 4 } { 3 } \pi ( 20 ) ^ { 3 } - \frac { 4 } { 3 } \pi ( 12 ) ^ { 3 }$$

Evaluate

$$\frac{25088\pi }{3}\approx 26272.09216442$$

Solution Steps

Calculate 20 to the power of 3 and get 8000.

$$\frac{4}{3}\pi \times 8000-\frac{4}{3}\pi \times 12^{3}$$

Express \frac{4}{3}\times 8000 as a single fraction.

$$\frac{4\times 8000}{3}\pi -\frac{4}{3}\pi \times 12^{3}$$

Multiply 4 and 8000 to get 32000.

$$\frac{32000}{3}\pi -\frac{4}{3}\pi \times 12^{3}$$

Calculate 12 to the power of 3 and get 1728.

$$\frac{32000}{3}\pi -\frac{4}{3}\pi \times 1728$$

Express \frac{4}{3}\times 1728 as a single fraction.

$$\frac{32000}{3}\pi -\frac{4\times 1728}{3}\pi$$

Multiply 4 and 1728 to get 6912.

$$\frac{32000}{3}\pi -\frac{6912}{3}\pi$$

Divide 6912 by 3 to get 2304.

$$\frac{32000}{3}\pi -2304\pi$$

Combine \frac{32000}{3}\pi and -2304\pi to get \frac{25088}{3}\pi .

$$\frac{25088}{3}\pi$$