Solve for V
V=862435.584
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V≔862435.584
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V=426\times 12^{2}\times 14+\frac{2}{3}\times 3.142\times 12^{3}
Multiply 3 and 142 to get 426.
V=426\times 144\times 14+\frac{2}{3}\times 3.142\times 12^{3}
Calculate 12 to the power of 2 and get 144.
V=61344\times 14+\frac{2}{3}\times 3.142\times 12^{3}
Multiply 426 and 144 to get 61344.
V=858816+\frac{2}{3}\times 3.142\times 12^{3}
Multiply 61344 and 14 to get 858816.
V=858816+\frac{2}{3}\times \frac{1571}{500}\times 12^{3}
Convert decimal number 3.142 to fraction \frac{3142}{1000}. Reduce the fraction \frac{3142}{1000} to lowest terms by extracting and canceling out 2.
V=858816+\frac{2\times 1571}{3\times 500}\times 12^{3}
Multiply \frac{2}{3} times \frac{1571}{500} by multiplying numerator times numerator and denominator times denominator.
V=858816+\frac{3142}{1500}\times 12^{3}
Do the multiplications in the fraction \frac{2\times 1571}{3\times 500}.
V=858816+\frac{1571}{750}\times 12^{3}
Reduce the fraction \frac{3142}{1500} to lowest terms by extracting and canceling out 2.
V=858816+\frac{1571}{750}\times 1728
Calculate 12 to the power of 3 and get 1728.
V=858816+\frac{1571\times 1728}{750}
Express \frac{1571}{750}\times 1728 as a single fraction.
V=858816+\frac{2714688}{750}
Multiply 1571 and 1728 to get 2714688.
V=858816+\frac{452448}{125}
Reduce the fraction \frac{2714688}{750} to lowest terms by extracting and canceling out 6.
V=\frac{107352000}{125}+\frac{452448}{125}
Convert 858816 to fraction \frac{107352000}{125}.
V=\frac{107352000+452448}{125}
Since \frac{107352000}{125} and \frac{452448}{125} have the same denominator, add them by adding their numerators.
V=\frac{107804448}{125}
Add 107352000 and 452448 to get 107804448.
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