Solve for r V=4/3*(pr^3)

Problem

V=4/3*π*r3

Solution

1. Multiply both sides of the equation by 3 to eliminate the fraction.

3*V=4*π*r3

2. Divide both sides by 4*π to isolate the r3 term.

(3*V)/(4*π)=r3

3. Take the cube root of both sides to solve for r

√(3,(3*V)/(4*π))=r

4. Rewrite the equation with r on the left side.

r=√(3,(3*V)/(4*π))

Final Answer

r=√(3,(3*V)/(4*π))

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