Solve 0.8*3600*1/4*3.14*(60*10^-3)^2*1800

$$0.8 \times 3600 \times \frac { 1 } { 4 } \times 3.14 \times ( 60 \times 10 ^ { - 3 } ) ^ { 2 } \times 1800$$

Evaluate

$$14649.984$$

Solution Steps

Multiply 0.8 and 3600 to get 2880.

$$2880\times \frac{1}{4}\times 3.14\times \left(60\times 10^{-3}\right)^{2}\times 1800$$

Multiply 2880 and \frac{1}{4} to get 720.

$$720\times 3.14\times \left(60\times 10^{-3}\right)^{2}\times 1800$$

Multiply 720 and 3.14 to get 2260.8.

$$2260.8\times \left(60\times 10^{-3}\right)^{2}\times 1800$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$2260.8\times \left(60\times \frac{1}{1000}\right)^{2}\times 1800$$

Multiply 60 and \frac{1}{1000} to get \frac{3}{50}.

$$2260.8\times \left(\frac{3}{50}\right)^{2}\times 1800$$

Calculate \frac{3}{50} to the power of 2 and get \frac{9}{2500}.

$$2260.8\times \frac{9}{2500}\times 1800$$

Multiply 2260.8 and \frac{9}{2500} to get \frac{25434}{3125}.

$$\frac{25434}{3125}\times 1800$$

Multiply \frac{25434}{3125} and 1800 to get \frac{1831248}{125}.

$$\frac{1831248}{125}$$

Factor

$$\frac{157 \cdot 2 ^ {4} \cdot 3 ^ {6}}{5 ^ {3}} = 14649\frac{123}{125} = 14649.984$$