Solve 1/3*pi*9.6^2*2.8

$$\frac { 1 } { 3 } \times \pi \times 9.6 ^ { 2 } \times 2.8$$

Evaluate

$$\frac{10752\pi }{125}\approx 270.227233691$$

Solution Steps

Calculate 9.6 to the power of 2 and get 92.16.

$$\frac{1}{3}\pi \times 92.16\times 2.8$$

Convert decimal number 92.16 to fraction \frac{9216}{100}. Reduce the fraction \frac{9216}{100} to lowest terms by extracting and canceling out 4.

$$\frac{1}{3}\pi \times \frac{2304}{25}\times 2.8$$

Multiply \frac{1}{3} times \frac{2304}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 2304}{3\times 25}\pi \times 2.8$$

Do the multiplications in the fraction \frac{1\times 2304}{3\times 25}.

$$\frac{2304}{75}\pi \times 2.8$$

Reduce the fraction \frac{2304}{75} to lowest terms by extracting and canceling out 3.

$$\frac{768}{25}\pi \times 2.8$$

Convert decimal number 2.8 to fraction \frac{28}{10}. Reduce the fraction \frac{28}{10} to lowest terms by extracting and canceling out 2.

$$\frac{768}{25}\pi \times \frac{14}{5}$$

Multiply \frac{768}{25} times \frac{14}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{768\times 14}{25\times 5}\pi$$

Do the multiplications in the fraction \frac{768\times 14}{25\times 5}.

$$\frac{10752}{125}\pi$$