Solve 4pi*10^-7*500*10^2*3*pi*0.025*0.025

$$4 \pi \times 10 ^ { - 7 } \times 500 \times 10 ^ { 2 } \times 3 \times \pi \times 0.025 \times 0.025$$

Evaluate

$$\frac{3\pi ^{2}}{80000}\approx 0.00037011$$

Solution Steps

Multiply \pi and \pi to get \pi ^{2}.

$$4\pi ^{2}\times 10^{-7}\times 500\times 10^{2}\times 3\times 0.025\times 0.025$$

To multiply powers of the same base, add their exponents. Add -7 and 2 to get -5.

$$4\pi ^{2}\times 10^{-5}\times 500\times 3\times 0.025\times 0.025$$

Calculate 10 to the power of -5 and get \frac{1}{100000}.

$$4\pi ^{2}\times \frac{1}{100000}\times 500\times 3\times 0.025\times 0.025$$

Multiply 4 and \frac{1}{100000} to get \frac{1}{25000}.

$$\frac{1}{25000}\pi ^{2}\times 500\times 3\times 0.025\times 0.025$$

Multiply \frac{1}{25000} and 500 to get \frac{1}{50}.

$$\frac{1}{50}\pi ^{2}\times 3\times 0.025\times 0.025$$

Multiply \frac{1}{50} and 3 to get \frac{3}{50}.

$$\frac{3}{50}\pi ^{2}\times 0.025\times 0.025$$

Multiply \frac{3}{50} and 0.025 to get \frac{3}{2000}.

$$\frac{3}{2000}\pi ^{2}\times 0.025$$

Multiply \frac{3}{2000} and 0.025 to get \frac{3}{80000}.

$$\frac{3}{80000}\pi ^{2}$$