SOLUTION: Find the height of a prism with a base in the form of a sector with central angle equal to 25 degrees. Its volume is found to be 350 cu.in. and the height is four times the radius

Algebra ->  Surface-area -> SOLUTION: Find the height of a prism with a base in the form of a sector with central angle equal to 25 degrees. Its volume is found to be 350 cu.in. and the height is four times the radius       Log On


   

Question 1117231: Find the height of a prism with a base in the form of a sector with central angle equal to 25 degrees. Its volume is found to be 350 cu.in. and the height is four times the radius of the base.
Answer: 29.5 in
How to solve?
Answer by josgarithmetic(39838) About Me  (Show Source):
You can put this solution on YOUR website!
r, radius
4r, height

Base of the prism, area, is %2825%2F360%29pi%2Ar%5E2

Volume given, %284r%29%2825%2F360%29pi%2Ar%5E2=350-------Solve for r, and multiply by 4.

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Skipping a few of the arithmetic steps,
%285%2F18%29pi%2Ar%5E3=5%2A7%2A10
r%5E3=70%2A18%2Fpi

r=7.3746
4r=29.5