Solve 2/3pi*1.5^3

$$\frac{ 2 }{ 3 } \pi \times { 1.5 }^{ 3 }$$

Evaluate

$$\frac{9\pi }{4}\approx 7.068583471$$

Solution Steps

Calculate 1.5 to the power of 3 and get 3.375.

$$\frac{2}{3}\pi \times 3.375$$

Convert decimal number 3.375 to fraction \frac{3375}{1000}. Reduce the fraction \frac{3375}{1000} to lowest terms by extracting and canceling out 125.

$$\frac{2}{3}\pi \times \frac{27}{8}$$

Multiply \frac{2}{3} times \frac{27}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 27}{3\times 8}\pi$$

Do the multiplications in the fraction \frac{2\times 27}{3\times 8}.

$$\frac{54}{24}\pi$$

Reduce the fraction \frac{54}{24} to lowest terms by extracting and canceling out 6.

$$\frac{9}{4}\pi$$