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)

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Note that the formula for volume of sphere is:

`V=4/3pir^3`

To solve for r, we need to move `4/3pi` to the right side. To do so, divide both sides by `4/3pi` .

`V/(4/3pi)=(4/3pir^3)/(4/3pi)`

`(3V)/(4pi)=r^3`

Then, do the opposite operation of a cube. So take the cube root of both sides.

`root(3)((3V)/(4pi)) = root(3)(r^3)`

`root(3)((3V)/(4pi))=r`

**Hence, the answer is (b) `r=root(3)((3V)/(4pi))` .**

**Sources:**

Solve for the variable r in the following equation for the volume of a sphere r=(3 )/4 π(pi)r^3:

a. r=(3V)/4π(pi)

b. r=∛(3V/4π)

c. r=(V-3)/4x

d. r=∛((V-3)/4x)

thats the whole question

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