To solve for the radius of the sphere using the formula: V=4/3πr^3

Answer 1

Step 1: Write down the formula for the volume of a sphere:
V = 4/3 * π * r^3

Step 2: Plug in the given volume into the formula:
V = 4/3 * π * r^3

Step 3: Divide both sides of the equation by (4/3) * π to isolate r^3:
(V) / (4/3 * π) = r^3

Step 4: Simplify the equation:
r^3 = 3V / 4π

Step 5: Take the cube root of both sides to solve for r:
r = (3V / 4π)^(1/3)

This is the formula to solve for the radius of the sphere given the volume.