Solve 6^2*3.14*4+1/3*6^2*3.14*12

$${ 6 }^{ 2 } \times 3.14 \times 4+ \frac{ 1 }{ 3 } \times { 6 }^{ 2 } \times 3.14 \times 12$$

Evaluate

$$904.32$$

Solution Steps

Calculate 6 to the power of 2 and get 36.

$$36\times 3.14\times 4+\frac{1}{3}\times 6^{2}\times 3.14\times 12$$

Multiply 36 and 3.14 to get 113.04.

$$113.04\times 4+\frac{1}{3}\times 6^{2}\times 3.14\times 12$$

Multiply 113.04 and 4 to get 452.16.

$$452.16+\frac{1}{3}\times 6^{2}\times 3.14\times 12$$

Calculate 6 to the power of 2 and get 36.

$$452.16+\frac{1}{3}\times 36\times 3.14\times 12$$

Multiply \frac{1}{3} and 36 to get \frac{36}{3}.

$$452.16+\frac{36}{3}\times 3.14\times 12$$

Divide 36 by 3 to get 12.

$$452.16+12\times 3.14\times 12$$

Multiply 12 and 3.14 to get 37.68.

$$452.16+37.68\times 12$$

Multiply 37.68 and 12 to get 452.16.

$$452.16+452.16$$

Add 452.16 and 452.16 to get 904.32.

$$904.32$$

Factor

$$\frac{157 \cdot 2 ^ {4} \cdot 3 ^ {2}}{5 ^ {2}} = 904\frac{8}{25} = 904.32$$