Solve 2*1.075*0.982*0.5*9.8/pi*left(0.2958div2div1000right)^2*0.071*0.1068

$$\frac{ 2 \times 1.075 \times 0.982 \times 0.5 \times 9.8 }{ \pi \times { \left(0.2958 \div 2 \div 1000 \right) }^{ 2 } \times 0.071 \times 0.1068 }$$

Evaluate

$$\frac{2586342500000000000000}{41467319037\pi }\approx 19853185735.801555634$$

Solution Steps

Multiply 2 and 1.075 to get 2.15.

$$\frac{2.15\times 0.982\times 0.5\times 9.8}{\pi \times \left(\frac{\frac{0.2958}{2}}{1000}\right)^{2}\times 0.071\times 0.1068}$$

Multiply 2.15 and 0.982 to get 2.1113.

$$\frac{2.1113\times 0.5\times 9.8}{\pi \times \left(\frac{\frac{0.2958}{2}}{1000}\right)^{2}\times 0.071\times 0.1068}$$

Multiply 2.1113 and 0.5 to get 1.05565.

$$\frac{1.05565\times 9.8}{\pi \times \left(\frac{\frac{0.2958}{2}}{1000}\right)^{2}\times 0.071\times 0.1068}$$

Multiply 1.05565 and 9.8 to get 10.34537.

$$\frac{10.34537}{\pi \times \left(\frac{\frac{0.2958}{2}}{1000}\right)^{2}\times 0.071\times 0.1068}$$

Express \frac{\frac{0.2958}{2}}{1000} as a single fraction.

$$\frac{10.34537}{\pi \times \left(\frac{0.2958}{2\times 1000}\right)^{2}\times 0.071\times 0.1068}$$

Multiply 2 and 1000 to get 2000.

$$\frac{10.34537}{\pi \times \left(\frac{0.2958}{2000}\right)^{2}\times 0.071\times 0.1068}$$

Expand \frac{0.2958}{2000} by multiplying both numerator and the denominator by 10000.

$$\frac{10.34537}{\pi \times \left(\frac{2958}{20000000}\right)^{2}\times 0.071\times 0.1068}$$

Reduce the fraction \frac{2958}{20000000} to lowest terms by extracting and canceling out 2.

$$\frac{10.34537}{\pi \times \left(\frac{1479}{10000000}\right)^{2}\times 0.071\times 0.1068}$$

Calculate \frac{1479}{10000000} to the power of 2 and get \frac{2187441}{100000000000000}.

$$\frac{10.34537}{\pi \times \frac{2187441}{100000000000000}\times 0.071\times 0.1068}$$

Multiply \frac{2187441}{100000000000000} and 0.071 to get \frac{155308311}{100000000000000000}.

$$\frac{10.34537}{\pi \times \frac{155308311}{100000000000000000}\times 0.1068}$$

Multiply \frac{155308311}{100000000000000000} and 0.1068 to get \frac{41467319037}{250000000000000000000}.

$$\frac{10.34537}{\pi \times \frac{41467319037}{250000000000000000000}}$$