Solve 4/3pi*(0.002^3

$$\frac{ 4 }{ 3 } \pi \times ( { 0.002 }^{ 3 }$$

Evaluate

$$\frac{\pi }{93750000}\approx 0.000000034$$

Solution Steps

Calculate 0.002 to the power of 3 and get 0.000000008.

$$\frac{4}{3}\pi \times 0.000000008$$

Convert decimal number 0.000000008 to fraction \frac{8}{1000000000}. Reduce the fraction \frac{8}{1000000000} to lowest terms by extracting and canceling out 8.

$$\frac{4}{3}\pi \times \frac{1}{125000000}$$

Multiply \frac{4}{3} times \frac{1}{125000000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 1}{3\times 125000000}\pi$$

Do the multiplications in the fraction \frac{4\times 1}{3\times 125000000}.

$$\frac{4}{375000000}\pi$$

Reduce the fraction \frac{4}{375000000} to lowest terms by extracting and canceling out 4.

$$\frac{1}{93750000}\pi$$