Solve 1/3pi*3.6*(0.16^2+0.16*0.12+0.12^2)=

$$\frac{ 1 }{ 3 } \pi \times 3.6 \times ( { 0.16 }^{ 2 } +0.16 \times 0.12+ { 0.12 }^{ 2 } )=$$

Evaluate

$$\frac{222\pi }{3125}\approx 0.223178742$$

Solution Steps

Convert decimal number 3.6 to fraction \frac{36}{10}. Reduce the fraction \frac{36}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{3}\pi \times \frac{18}{5}\left(0.16^{2}+0.16\times 0.12+0.12^{2}\right)$$

Multiply \frac{1}{3} times \frac{18}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 18}{3\times 5}\pi \left(0.16^{2}+0.16\times 0.12+0.12^{2}\right)$$

Do the multiplications in the fraction \frac{1\times 18}{3\times 5}.

$$\frac{18}{15}\pi \left(0.16^{2}+0.16\times 0.12+0.12^{2}\right)$$

Reduce the fraction \frac{18}{15} to lowest terms by extracting and canceling out 3.

$$\frac{6}{5}\pi \left(0.16^{2}+0.16\times 0.12+0.12^{2}\right)$$

Calculate 0.16 to the power of 2 and get 0.0256.

$$\frac{6}{5}\pi \left(0.0256+0.16\times 0.12+0.12^{2}\right)$$

Multiply 0.16 and 0.12 to get 0.0192.

$$\frac{6}{5}\pi \left(0.0256+0.0192+0.12^{2}\right)$$

Add 0.0256 and 0.0192 to get 0.0448.

$$\frac{6}{5}\pi \left(0.0448+0.12^{2}\right)$$

Calculate 0.12 to the power of 2 and get 0.0144.

$$\frac{6}{5}\pi \left(0.0448+0.0144\right)$$

Add 0.0448 and 0.0144 to get 0.0592.

$$\frac{6}{5}\pi \times 0.0592$$

Convert decimal number 0.0592 to fraction \frac{592}{10000}. Reduce the fraction \frac{592}{10000} to lowest terms by extracting and canceling out 16.

$$\frac{6}{5}\pi \times \frac{37}{625}$$

Multiply \frac{6}{5} times \frac{37}{625} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6\times 37}{5\times 625}\pi$$

Do the multiplications in the fraction \frac{6\times 37}{5\times 625}.

$$\frac{222}{3125}\pi$$

Expand

$$\frac{222 \pi}{3125} = 0.2231787421110189$$

Solution Steps

Convert decimal number 3.6 to fraction \frac{36}{10}. Reduce the fraction \frac{36}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{3}\pi \times \frac{18}{5}\left(0.16^{2}+0.16\times 0.12+0.12^{2}\right)$$

Multiply \frac{1}{3} times \frac{18}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 18}{3\times 5}\pi \left(0.16^{2}+0.16\times 0.12+0.12^{2}\right)$$

Do the multiplications in the fraction \frac{1\times 18}{3\times 5}.

$$\frac{18}{15}\pi \left(0.16^{2}+0.16\times 0.12+0.12^{2}\right)$$

Reduce the fraction \frac{18}{15} to lowest terms by extracting and canceling out 3.

$$\frac{6}{5}\pi \left(0.16^{2}+0.16\times 0.12+0.12^{2}\right)$$

Calculate 0.16 to the power of 2 and get 0.0256.

$$\frac{6}{5}\pi \left(0.0256+0.16\times 0.12+0.12^{2}\right)$$

Multiply 0.16 and 0.12 to get 0.0192.

$$\frac{6}{5}\pi \left(0.0256+0.0192+0.12^{2}\right)$$

Add 0.0256 and 0.0192 to get 0.0448.

$$\frac{6}{5}\pi \left(0.0448+0.12^{2}\right)$$

Calculate 0.12 to the power of 2 and get 0.0144.

$$\frac{6}{5}\pi \left(0.0448+0.0144\right)$$

Add 0.0448 and 0.0144 to get 0.0592.

$$\frac{6}{5}\pi \times 0.0592$$

Convert decimal number 0.0592 to fraction \frac{592}{10000}. Reduce the fraction \frac{592}{10000} to lowest terms by extracting and canceling out 16.

$$\frac{6}{5}\pi \times \frac{37}{625}$$

Multiply \frac{6}{5} times \frac{37}{625} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6\times 37}{5\times 625}\pi$$

Do the multiplications in the fraction \frac{6\times 37}{5\times 625}.

$$\frac{222}{3125}\pi$$