Solve 4pi^2*(5*10^4/60)*0.02div9.8

$$4 \pi ^ { 2 } \times ( \frac { 5 \times 10 ^ { 4 } } { 60 } ) \times 0.02 \div 9.8$$

Evaluate

$$\frac{1000\pi ^{2}}{147}\approx 67.140165994$$

Solution Steps

Calculate 10 to the power of 4 and get 10000.

$$\frac{4\pi ^{2}\times \frac{5\times 10000}{60}\times 0.02}{9.8}$$

Multiply 5 and 10000 to get 50000.

$$\frac{4\pi ^{2}\times \frac{50000}{60}\times 0.02}{9.8}$$

Reduce the fraction \frac{50000}{60} to lowest terms by extracting and canceling out 20.

$$\frac{4\pi ^{2}\times \frac{2500}{3}\times 0.02}{9.8}$$

Multiply 4 and \frac{2500}{3} to get \frac{10000}{3}.

$$\frac{\frac{10000}{3}\pi ^{2}\times 0.02}{9.8}$$

Multiply \frac{10000}{3} and 0.02 to get \frac{200}{3}.

$$\frac{\frac{200}{3}\pi ^{2}}{9.8}$$

Divide \frac{200}{3}\pi ^{2} by 9.8 to get \frac{1000}{147}\pi ^{2}.

$$\frac{1000}{147}\pi ^{2}$$