SOLUTION: 128.) Radius of a sphere. The radius of a sphere is given by the formula. r = (0.75v/π)^1/3 Where V is its volume. Find the raduis of a spherical tank that has a volume

Algebra ->  Test -> SOLUTION: 128.) Radius of a sphere. The radius of a sphere is given by the formula. r = (0.75v/π)^1/3 Where V is its volume. Find the raduis of a spherical tank that has a volume       Log On


   

Question 165400: 128.) Radius of a sphere. The radius of a sphere is given by the formula.
r = (0.75v/π)^1/3
Where V is its volume. Find the raduis of a spherical tank that has a volume of 32π /3 cubic meters.

Found 2 solutions by Alan3354, Mathtut:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Radius of a sphere. The radius of a sphere is given by the formula.
r = (0.75v/π)^1/3
Where V is its volume. Find the raduis of a spherical tank that has a volume of 32π /3 cubic meters.
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V+=+4PI%2Ar%5E3%2F3
32pi%2F3+=+4pi%2Ar%5E3%2F3
8%2F3+=+r%5E3%2F3
r%5E3+=+8
r = 2 meters



Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
r= ((.75(32(pi))/3)/pi)^1/3 simplify by inverting and multiplying pi to get .75(32(pi)*1/3(pi))^1/3 cancel the pi's in denominator and numerator and you get .75(32/3)^1/3 which is (24/3)^1/3
which is (8)^1/3 which is 2 r=2