v = \frac { 1 } { 3 } ( 3,14 ) ( 5 ) ^ { 2 } ( 10 )
Solve for v
v=\frac{785}{3}\approx 261,666666667
Assign v
v≔\frac{785}{3}
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v=\frac{1}{3}\times \frac{157}{50}\times 5^{2}\times 10
Convert decimal number 3,14 to fraction \frac{314}{100}. Reduce the fraction \frac{314}{100} to lowest terms by extracting and canceling out 2.
v=\frac{1\times 157}{3\times 50}\times 5^{2}\times 10
Multiply \frac{1}{3} times \frac{157}{50} by multiplying numerator times numerator and denominator times denominator.
v=\frac{157}{150}\times 5^{2}\times 10
Do the multiplications in the fraction \frac{1\times 157}{3\times 50}.
v=\frac{157}{150}\times 25\times 10
Calculate 5 to the power of 2 and get 25.
v=\frac{157\times 25}{150}\times 10
Express \frac{157}{150}\times 25 as a single fraction.
v=\frac{3925}{150}\times 10
Multiply 157 and 25 to get 3925.
v=\frac{157}{6}\times 10
Reduce the fraction \frac{3925}{150} to lowest terms by extracting and canceling out 25.
v=\frac{157\times 10}{6}
Express \frac{157}{6}\times 10 as a single fraction.
v=\frac{1570}{6}
Multiply 157 and 10 to get 1570.
v=\frac{785}{3}
Reduce the fraction \frac{1570}{6} to lowest terms by extracting and canceling out 2.
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