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)

2 Answers | Add Yours

lemjay's profile pic

lemjay | High School Teacher | (Level 3) Senior Educator

Posted on

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:
melissazamora7's profile pic

melissazamora7 | Student, Grade 11 | (Level 1) Honors

Posted on

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 

 

We’ve answered 318,916 questions. We can answer yours, too.

Ask a question