Engineering Board Exam Reviewer · Applications: Centroid, Work, and Moment of Inertia · medium
A conical tank with its vertex pointing down is 6 m deep and has a top radius of 3 m. It is full of water. How much work, in kilojoules, is needed to pump all the water to the top rim? Use =1000 kg/m3 and g=9.81 m/s2.
- 2496.34
- 832.11
- 3328.45
- 416.06
Answer
B. 832.11
Solution
At height y above the vertex the radius is y2 and the layer is lifted 6-y. W= gπ 06y2/4(6-y),dy= gπ/4≤ft[2y3-y4/4 ]06=27π g 832.1 kJ.
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