Engineering Board Exam Reviewer · Solid Geometry: Prisms, Pyramids, and Cylinders · hard
A cylindrical tank of radius 2 m and length 6 m lies on its side. Find the volume of liquid in it, in cubic meters, when the liquid is 1 m deep.
- 24
- 37.7
- 14.74
- 18.85
Answer
C. 14.74
Solution
The liquid forms a circular segment of height h=1: A=r2 -1r-h/r-(r-h)sqrt(2rh-h2)=4 -1(0.5)- 3=2.457 m2. V=2.457(6)=14.74 m3.
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