
To find:
The radius of the cylindrical tank.

Answer to Problem 49STP
The radius of the cylindrical tank is 89.4 ft .
Explanation of Solution
Given information:
A cylindrical tank used for oil storage has a height that is half the length of its radius. Volume of the tank is 1122360 ft3 .
Calculation:
A cylindrical tank used for oil storage has a height that is half the length of its radius.
Assume that the radius of the cylindrical tank is r ft .
So, the height of the tank is r2 ft .
Volume of the cylindrical tank is V=πr2h .
Substitute V=1122360 and h=r2 in the above to find radius.
1122360=πr2r22244720=πr3r3=2244720πr3=714516.57r=3√714516.57=89.4 ft
Hence, the radius of the cylindrical tank is 89.4 ft .
Chapter 12 Solutions
Geometry, Student Edition
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