Solve 9.8/frac{4{3}pi*3000*6371*10^3}

$$\frac { 9.8 } { \frac { 4 } { 3 } \pi \times 3000 \times 6371 \times 10 ^ { 3 } }$$

Evaluate

$$\frac{49}{127420000000\pi }\approx 1.22407663 \cdot 10^{-10}$$

Solution Steps

Express \frac{4}{3}\times 3000 as a single fraction.

$$\frac{9.8}{\frac{4\times 3000}{3}\pi \times 6371\times 10^{3}}$$

Multiply 4 and 3000 to get 12000.

$$\frac{9.8}{\frac{12000}{3}\pi \times 6371\times 10^{3}}$$

Divide 12000 by 3 to get 4000.

$$\frac{9.8}{4000\pi \times 6371\times 10^{3}}$$

Multiply 4000 and 6371 to get 25484000.

$$\frac{9.8}{25484000\pi \times 10^{3}}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{9.8}{25484000\pi \times 1000}$$

Multiply 25484000 and 1000 to get 25484000000.

$$\frac{9.8}{25484000000\pi }$$