What is the answer to solvefor r,V= 1/(3pir^2h) ?

The answer to solvefor r,V= 1/(3pir^2h) is No Solution

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Solve for r V=1/3pir^2h

solve for

r, V = \frac{1}{3 p i r ^{2} h}

No Solution

Solution steps

V = \frac{1}{3 p i r ^{2} h}

Substitute

r = x + y i

V = \frac{1}{3 p i ( x + y i ) ^{2} h}

Multiply both sides by

3 p i (x + y i)^{2} h

V \cdot 3 p i (x + y i)^{2} h = \frac{1}{3 p i ( x + y i ) ^{2} h} \cdot 3 p i (x + y i)^{2} h

Expand

- 6 p hV x y + 3 i p hV (x^{2} - y^{2}) = 1

Rewrite

1

in standard complex form:

1 + 0 i

- 6 p hV x y + 3 i p hV (x^{2} - y^{2}) = 1 + 0 i

Complex numbers can be equal only if their real and imaginary parts are equalRewrite as system of equations:

[- 6 p hV x y = 1 3 p hV x^{2} - 3 p hV y^{2} = 0]

[- 6 p hV x y = 1 3 p hV x^{2} - 3 p hV y^{2} = 0] : No Solution

Substitute back

r = x + y i

No Solution

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What is the answer to solvefor r,V= 1/(3pir^2h) ?
The answer to solvefor r,V= 1/(3pir^2h) is No Solution