SOLUTION: R = (0.75V/pie)^3 Where V is it’s volume, find the radius of a spherical tank that has a volume of 32 pie/3 cubic meters

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: R = (0.75V/pie)^3 Where V is it’s volume, find the radius of a spherical tank that has a volume of 32 pie/3 cubic meters       Log On


   

Question 35637: R = (0.75V/pie)^3
Where V is it’s volume, find the radius of a spherical tank that has a volume of 32 pie/3 cubic meters
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
V+=+%284%2F3%29%2A+pi%2A+r%5E3=%2832%2A+pi%29%2F3

Multiply both sides of this equation by 3 and divide both sides by pi to simplify the equation:
+3%2A%284%2F3%29%2A+pi%2A+r%5E3=3%2A%28%2832%2A+pi%29%2F3%29
+4%2A+pi%2A+r%5E3=%2832%2A+pi%29
+%284%2A+pi%2A+r%5E3%29%2Fpi=%2832%2A+pi%29%2Fpi
4r%5E3=+32

Divide both sides by 4.
r%5E3+=+8

Take cube root of each side:
r=+2 meters

R^2 at SCC