SOLUTION: The formula for the volume of a sphere is V=4/3(pi)r^3. Find the radius to the nearest hundredth of a sphere with each volume. V= 20ft^3. Could you please explain how you got the a

Algebra ->  Radicals -> SOLUTION: The formula for the volume of a sphere is V=4/3(pi)r^3. Find the radius to the nearest hundredth of a sphere with each volume. V= 20ft^3. Could you please explain how you got the a      Log On


   

Question 622288: The formula for the volume of a sphere is V=4/3(pi)r^3. Find the radius to the nearest hundredth of a sphere with each volume. V= 20ft^3. Could you please explain how you got the answer so I know how to do the other problems? Thank You!!
Found 2 solutions by matineesuxxx, solver91311:
Answer by matineesuxxx(27) About Me  (Show Source):
You can put this solution on YOUR website!
well you've stated the equation to solve for the volume,
In this case, you know the volume, so plug it into the equation.
20=%284%2F3%29%28pi%29r%5E3
multiply both sides by 3 and divide both sides by 4
15=%28pi%29r%5E3
now divide by pi
15%2Fpi=r%5E3%5D%5D%5D%0D%0Anow+raise+everything+to+the+%7B%7B%7B1%2F3 power
%2815%2Fpi%29%5E%281%2F3%29=%28%28r%5E3%29%5E%281%2F3%29%29
r=%2815%2Fpi%29%5E%281%2F3%29

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Take out your calculator

Multiply the volume by

Divide the result by

Take the cube root of the result.

Round appropriately. You might want to ask your instructor why, since the Volume was given to the nearest cubic foot, you were asked to round to the nearest hundredth of a foot. Totally inappropriate. The result of a calculation involving measurements should never be expressed more precisely than the least precise given measurement. If the instructor wanted the answer to the nearest 1/100 foot, s/he should have expressed the Volume as 20.00 ft^3.

John

My calculator said it, I believe it, that settles it
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