Question

Make r the subject of v=4/3 pie r^3 need some help guys

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