What is the answer to solvefor v=2pisqrt(Gmr^3),r ?

The answer to solvefor v=2pisqrt(Gmr^3),r is r=\sqrt[3]{(v^2)/(4pi^2mG)}

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solvefor v=2pisqrt(Gmr^3),r

solve for

v = 2 π G m r^{3}, r

Solution steps

v = 2 π G m r^{3}

Switch sides

2 π G m r^{3} = v

Divide both sides by

2 π

G m r^{3} = \frac{v}{2 π}

Square both sides:

G m r^{3} = \frac{v ^{2}}{4 π ^{2}}

G m r^{3} = \frac{v ^{2}}{4 π ^{2}}

Solve

5 x - 7 = 3 x + 5

x^{\frac{2}{3}} - \frac{1}{16} = 0

x + 4 = 4

x + 4 = 2

What is the answer to solvefor v=2pisqrt(Gmr^3),r ?
The answer to solvefor v=2pisqrt(Gmr^3),r is r=\sqrt[3]{(v^2)/(4pi^2mG)}