Final answer:
To solve the formula V = 4/3 πr^3 for r, multiply both sides by 3/4, divide by π, and take the cube root, resulting in r = ∛((3/4) V / π).
Step-by-step explanation:
The formula for the volume of a sphere is given by V = 4/3 πr^3. To solve this formula for the radius (r), you would need to isolate r on one side of the equation. Here are the steps to do so:
Multiply both sides of the equation by 3/4 to get rid of the fraction on the right side: 3/4 V = πr^3.
Divide both sides of the equation by π to isolate r^3 on one side: (3/4) V / π = r^3.
Take the cube root of both sides to solve for r: r = ∛((3/4) V / π).
Thus, the formula solved for r is r = ∛((3/4) V / π), where V is the volume of the sphere.