Solve 7.85*4/3pi*1.1^3

$$7.85 \times \frac{ 4 }{ 3 } \pi \times { 1.1 }^{ 3 }$$

Evaluate

$$\frac{208967\pi }{15000}\approx 43.765946136$$

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.

$$\frac{157}{20}\times \frac{4}{3}\pi \times 1.1^{3}$$

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

$$\frac{157\times 4}{20\times 3}\pi \times 1.1^{3}$$

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

$$\frac{628}{60}\pi \times 1.1^{3}$$

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

$$\frac{157}{15}\pi \times 1.1^{3}$$

Calculate 1.1 to the power of 3 and get 1.331.

$$\frac{157}{15}\pi \times 1.331$$

Convert decimal number 1.331 to fraction \frac{1331}{1000}.

$$\frac{157}{15}\pi \times \frac{1331}{1000}$$

Multiply \frac{157}{15} times \frac{1331}{1000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{157\times 1331}{15\times 1000}\pi$$

Do the multiplications in the fraction \frac{157\times 1331}{15\times 1000}.

$$\frac{208967}{15000}\pi$$