Solve 4div3*pi*2^3div64*100

$$4 \div 3 \times \pi \times { 2 }^{ 3 } \div 64 \times 100$$

Evaluate

$$\frac{50\pi }{3}\approx 52.35987756$$

Solution Steps

Calculate 2 to the power of 3 and get 8.

$$\frac{\frac{4}{3}\pi \times 8}{64}\times 100$$

Express \frac{4}{3}\times 8 as a single fraction.

$$\frac{\frac{4\times 8}{3}\pi }{64}\times 100$$

Multiply 4 and 8 to get 32.

$$\frac{\frac{32}{3}\pi }{64}\times 100$$

Divide \frac{32}{3}\pi by 64 to get \frac{1}{6}\pi .

$$\frac{1}{6}\pi \times 100$$

Multiply \frac{1}{6} and 100 to get \frac{100}{6}.

$$\frac{100}{6}\pi$$

Reduce the fraction \frac{100}{6} to lowest terms by extracting and canceling out 2.

$$\frac{50}{3}\pi$$