Question

Solve for r.

See the picture for the equation.
It would be really great if someone could help me!​

Answer 1

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

Explanation:

Given

V =
`(4)/(3)`πr³

Multiply both sides by 3 to clear the fraction

3V = 4πr³ ( isolate r³ by dividing both sides by 4π )

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

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