Solve 4pi^2*(5*10^4/60)^2*0.1div9.8

$$4 \pi ^ { 2 } \times ( \frac { 5 \times 10 ^ { 4 } } { 60 } ) ^ { 2 } \times 0.1 \div 9.8$$

Evaluate

$$\frac{12500000\pi ^{2}}{441}\approx 279750.691640855$$

Solution Steps

Calculate 10 to the power of 4 and get 10000.

$$\frac{4\pi ^{2}\times \left(\frac{5\times 10000}{60}\right)^{2}\times 0.1}{9.8}$$

Multiply 5 and 10000 to get 50000.

$$\frac{4\pi ^{2}\times \left(\frac{50000}{60}\right)^{2}\times 0.1}{9.8}$$

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

$$\frac{4\pi ^{2}\times \left(\frac{2500}{3}\right)^{2}\times 0.1}{9.8}$$

Calculate \frac{2500}{3} to the power of 2 and get \frac{6250000}{9}.

$$\frac{4\pi ^{2}\times \frac{6250000}{9}\times 0.1}{9.8}$$

Multiply 4 and \frac{6250000}{9} to get \frac{25000000}{9}.

$$\frac{\frac{25000000}{9}\pi ^{2}\times 0.1}{9.8}$$

Multiply \frac{25000000}{9} and 0.1 to get \frac{2500000}{9}.

$$\frac{\frac{2500000}{9}\pi ^{2}}{9.8}$$

Divide \frac{2500000}{9}\pi ^{2} by 9.8 to get \frac{12500000}{441}\pi ^{2}.

$$\frac{12500000}{441}\pi ^{2}$$

Expand

$$\frac{12500000 \pi ^ {2}}{441} = 279750.6916408548$$

Solution Steps

Calculate 10 to the power of 4 and get 10000.

$$\frac{4\pi ^{2}\times \left(\frac{5\times 10000}{60}\right)^{2}\times 0.1}{9.8}$$

Multiply 5 and 10000 to get 50000.

$$\frac{4\pi ^{2}\times \left(\frac{50000}{60}\right)^{2}\times 0.1}{9.8}$$

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

$$\frac{4\pi ^{2}\times \left(\frac{2500}{3}\right)^{2}\times 0.1}{9.8}$$

Calculate \frac{2500}{3} to the power of 2 and get \frac{6250000}{9}.

$$\frac{4\pi ^{2}\times \frac{6250000}{9}\times 0.1}{9.8}$$

Multiply 4 and \frac{6250000}{9} to get \frac{25000000}{9}.

$$\frac{\frac{25000000}{9}\pi ^{2}\times 0.1}{9.8}$$

Multiply \frac{25000000}{9} and 0.1 to get \frac{2500000}{9}.

$$\frac{\frac{2500000}{9}\pi ^{2}}{9.8}$$

Divide \frac{2500000}{9}\pi ^{2} by 9.8 to get \frac{12500000}{441}\pi ^{2}.

$$\frac{12500000}{441}\pi ^{2}$$