Question

Rewrite the formula to find the radius of a sphere. The volume (V) of a sphere is given by the formula V=4/3 pi r^3

Answer 1

see explanation

Explanation:

Given

V =
`(4)/(3)`πr³

Multiply both sides by 3 to clear the fraction

3V = 4πr³ ( divide both sides by 4π )

`(3V)/(4\pi )` = r³ ( take the cube root of both sides )

r =
`\sqrt[3]{(3V)/(4\pi ) }`