Solve for the variable r in the following equation for the volume of a sphere: a. r=(3V)/4π(pi) b. r=∛(3V/4π) c. r=(V-3)/4x d. r=∛((V-3)/4x)
Note that the formula for volume of sphere is:
To solve for r, we need to move `4/3pi` to the right side. To do so, divide both sides by `4/3pi` .
Then, do the opposite operation of a cube. So take the cube root of both sides.
`root(3)((3V)/(4pi)) = root(3)(r^3)`
Hence, the answer is (b) `r=root(3)((3V)/(4pi))` .