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Solve for the variable r in the following equation for the volume of a...

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melissazamora7 | Student, Grade 11 | Honors

Posted September 4, 2012 at 2:01 PM via web

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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)

Tagged with equation, math, sphere, volume

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Mary Joy Ripalda | High School Teacher | (Level 3) Educator

Posted September 4, 2012 at 2:18 PM (Answer #1)

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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))` .

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melissazamora7 | Student , Grade 11 | Honors

Posted September 4, 2012 at 2:03 PM (Answer #2)

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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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