Solve 7.85*4/3pi*0.55^3

$$7.85 \times \frac{ 4 }{ 3 } \pi \times { 0.55 }^{ 3 }$$

Evaluate

$$\frac{208967\pi }{120000}\approx 5.470743267$$

Solution Steps

Convert decimal number 7.85 to fraction \frac{785}{100}. Reduce the fraction \frac{785}{100} to lowest terms by extracting and canceling out 5.

$$\frac{157}{20}\times \frac{4}{3}\pi \times 0.55^{3}$$

Multiply \frac{157}{20} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{157\times 4}{20\times 3}\pi \times 0.55^{3}$$

Do the multiplications in the fraction \frac{157\times 4}{20\times 3}.

$$\frac{628}{60}\pi \times 0.55^{3}$$

Reduce the fraction \frac{628}{60} to lowest terms by extracting and canceling out 4.

$$\frac{157}{15}\pi \times 0.55^{3}$$

Calculate 0.55 to the power of 3 and get 0.166375.

$$\frac{157}{15}\pi \times 0.166375$$

Convert decimal number 0.166375 to fraction \frac{166375}{1000000}. Reduce the fraction \frac{166375}{1000000} to lowest terms by extracting and canceling out 125.

$$\frac{157}{15}\pi \times \frac{1331}{8000}$$

Multiply \frac{157}{15} times \frac{1331}{8000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{157\times 1331}{15\times 8000}\pi$$

Do the multiplications in the fraction \frac{157\times 1331}{15\times 8000}.

$$\frac{208967}{120000}\pi$$