Solve 1/3(pi)(4.5^2)(6)

$$\frac{ 1 }{ 3 } ( \pi )( { 4.5 }^{ 2 } )(6)$$

Evaluate

$$\frac{81\pi }{2}\approx 127.23450247$$

Solution Steps

Calculate 4.5 to the power of 2 and get 20.25.

$$\frac{1}{3}\pi \times 20.25\times 6$$

Convert decimal number 20.25 to fraction \frac{2025}{100}. Reduce the fraction \frac{2025}{100} to lowest terms by extracting and canceling out 25.

$$\frac{1}{3}\pi \times \frac{81}{4}\times 6$$

Multiply \frac{1}{3} times \frac{81}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 81}{3\times 4}\pi \times 6$$

Do the multiplications in the fraction \frac{1\times 81}{3\times 4}.

$$\frac{81}{12}\pi \times 6$$

Reduce the fraction \frac{81}{12} to lowest terms by extracting and canceling out 3.

$$\frac{27}{4}\pi \times 6$$

Express \frac{27}{4}\times 6 as a single fraction.

$$\frac{27\times 6}{4}\pi$$

Multiply 27 and 6 to get 162.

$$\frac{162}{4}\pi$$

Reduce the fraction \frac{162}{4} to lowest terms by extracting and canceling out 2.

$$\frac{81}{2}\pi$$