SOLUTION: A grain silo consists of a cylindrical main section and ahemispherical roof. If the total volume of the silo (including thepart inside the roof section) is 15000 ft{}^3 and the cyl

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: A grain silo consists of a cylindrical main section and ahemispherical roof. If the total volume of the silo (including thepart inside the roof section) is 15000 ft{}^3 and the cyl      Log On


   

Question 680312: A grain silo consists of a cylindrical main section and ahemispherical roof. If the total volume of the silo (including thepart inside the roof section) is 15000 ft{}^3 and the cylindrical part is 30 fttall, what is the radius of the silo?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Formula for the volume of a cylinder:
volume V=+pi%2Ar%5E2%2Ah
Then we input the known values: V=15000ft%5E3 and the cylindrical part is h=30ft

15000ft%5E3+=+pi+%2A+r%5E2+%2A+30ft

r+=+sqrt%2815000ft%5E3%2F%28pi%2A30ft%29%29



r+=+sqrt%28500ft%5E2%2F3.14%29

r+=+sqrt%28159.24ft%5E2%29

r+=+12.62ft