SOLUTION: Radius of a sphere. The radius of a sphere is given by the formula r=(0.75V/pi)^1/3 where V is its volume. Find the radius of a spherical tank that has a volume of 32pi/3 cubic

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Question 59042This question is from textbook
: Radius of a sphere. The radius of a sphere is given by the formula
r=(0.75V/pi)^1/3 where V is its volume. Find the radius of a spherical tank that has a volume of 32pi/3 cubic centimeters.
Sorry I'm stuck with this one for a couple of days. Please help. Thanks This question is from textbook

Answer by rcmcc(152) About Me  (Show Source):
You can put this solution on YOUR website!
r=%280.75V%2F%28pi%29%29%5E%281%2F3%29
substitute the volume into the equation to get the revise equation
r=%280.75%2832pi%2F3%29%2F%28pi%29%29%5E%281%2F3%29
because there is a pi on the top and bottom they cancel to give the equation
r=%280.75%2832%29%2F3%29%5E%281%2F3%29
at this stage you can simplify the brackets
r=%288%29%5E%281%2F3%29
now you can solve the equation for r
r=2
The radius of the spherical tank is 2m