Question

M=(3x)/(pi r^(2)h) solve for "r"

Answer 1

The solution for r in the given equation is r = √[(3x)/(pi h)(m)]

How to determine the solution of r in the equation?

The equation is given as:

m = (3x)/(pi r^(2)h)

Multiply both sides of the equation by (pi r^2h)

So, we have:

(pi r^(2)h) * m = (3x)/(pi r^(2)h) * (pi r^(2)h)

Evaluate the product in the above equation

So, we have:

(pi r^(2)h) * m = (3x)

Divide both sides of the equation by (pi h)(m)

So, we have:

(pi r^(2)h) * m/(pi h)(m) = (3x)/(pi h)(m)

Evaluate the quotient in the above equation

So, we have:

r^(2) = (3x)/(pi h)(m)

Take the square root of both sides in the above equation

So, we have:

√r^(2) = √[(3x)/(pi h)(m)]

Evaluate the square root of both sides in the above equation

So, we have:

r = √[(3x)/(pi h)(m)]

Hence, the solution for r in the given equation is r = √[(3x)/(pi h)(m)]

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