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

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

Evaluate

$$\frac{500000\pi ^{2}}{9}\approx 548311.355616075$$

Solution Steps

Calculate 10 to the power of 4 and get 10000.

$$4\pi ^{2}\times \left(\frac{5\times 10000}{60}\right)^{2}\times 0.02$$

Multiply 5 and 10000 to get 50000.

$$4\pi ^{2}\times \left(\frac{50000}{60}\right)^{2}\times 0.02$$

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

$$4\pi ^{2}\times \left(\frac{2500}{3}\right)^{2}\times 0.02$$

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

$$4\pi ^{2}\times \frac{6250000}{9}\times 0.02$$

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

$$\frac{25000000}{9}\pi ^{2}\times 0.02$$

Multiply \frac{25000000}{9} and 0.02 to get \frac{500000}{9}.

$$\frac{500000}{9}\pi ^{2}$$

Expand

$$\frac{500000 \pi ^ {2}}{9} = 548311.3556160755$$

Solution Steps

Calculate 10 to the power of 4 and get 10000.

$$4\pi ^{2}\times \left(\frac{5\times 10000}{60}\right)^{2}\times 0.02$$

Multiply 5 and 10000 to get 50000.

$$4\pi ^{2}\times \left(\frac{50000}{60}\right)^{2}\times 0.02$$

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

$$4\pi ^{2}\times \left(\frac{2500}{3}\right)^{2}\times 0.02$$

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

$$4\pi ^{2}\times \frac{6250000}{9}\times 0.02$$

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

$$\frac{25000000}{9}\pi ^{2}\times 0.02$$

Multiply \frac{25000000}{9} and 0.02 to get \frac{500000}{9}.

$$\frac{500000}{9}\pi ^{2}$$