Solve 960*9.807*left(9.6-0.8right)div4*0.76^2*pi

$$960 \cdot 9.807 \times \left( 9.6-0.8 \right) \div 4 \times { 0.76 }^{ 2 } \times \pi$$

Evaluate

$$\frac{934646328\pi }{78125}\approx 37584.358883193$$

Solution Steps

Multiply 960 and 9.807 to get 9414.72.

$$\frac{9414.72\left(9.6-0.8\right)}{4}\times 0.76^{2}\pi$$

Subtract 0.8 from 9.6 to get 8.8.

$$\frac{9414.72\times 8.8}{4}\times 0.76^{2}\pi$$

Multiply 9414.72 and 8.8 to get 82849.536.

$$\frac{82849.536}{4}\times 0.76^{2}\pi$$

Expand \frac{82849.536}{4} by multiplying both numerator and the denominator by 1000.

$$\frac{82849536}{4000}\times 0.76^{2}\pi$$

Reduce the fraction \frac{82849536}{4000} to lowest terms by extracting and canceling out 32.

$$\frac{2589048}{125}\times 0.76^{2}\pi$$

Calculate 0.76 to the power of 2 and get 0.5776.

$$\frac{2589048}{125}\times 0.5776\pi$$

Convert decimal number 0.5776 to fraction \frac{5776}{10000}. Reduce the fraction \frac{5776}{10000} to lowest terms by extracting and canceling out 16.

$$\frac{2589048}{125}\times \frac{361}{625}\pi$$

Multiply \frac{2589048}{125} times \frac{361}{625} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2589048\times 361}{125\times 625}\pi$$

Do the multiplications in the fraction \frac{2589048\times 361}{125\times 625}.

$$\frac{934646328}{78125}\pi$$

Expand

$$\frac{934646328 \pi}{78125} = 37584.358883193294$$

Solution Steps

Multiply 960 and 9.807 to get 9414.72.

$$\frac{9414.72\left(9.6-0.8\right)}{4}\times 0.76^{2}\pi$$

Subtract 0.8 from 9.6 to get 8.8.

$$\frac{9414.72\times 8.8}{4}\times 0.76^{2}\pi$$

Multiply 9414.72 and 8.8 to get 82849.536.

$$\frac{82849.536}{4}\times 0.76^{2}\pi$$

Expand \frac{82849.536}{4} by multiplying both numerator and the denominator by 1000.

$$\frac{82849536}{4000}\times 0.76^{2}\pi$$

Reduce the fraction \frac{82849536}{4000} to lowest terms by extracting and canceling out 32.

$$\frac{2589048}{125}\times 0.76^{2}\pi$$

Calculate 0.76 to the power of 2 and get 0.5776.

$$\frac{2589048}{125}\times 0.5776\pi$$

Convert decimal number 0.5776 to fraction \frac{5776}{10000}. Reduce the fraction \frac{5776}{10000} to lowest terms by extracting and canceling out 16.

$$\frac{2589048}{125}\times \frac{361}{625}\pi$$

Multiply \frac{2589048}{125} times \frac{361}{625} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2589048\times 361}{125\times 625}\pi$$

Do the multiplications in the fraction \frac{2589048\times 361}{125\times 625}.

$$\frac{934646328}{78125}\pi$$