A new condominium unit decided to place its reserve water tank below ground. The engineers excavated the land near the condominium building. Because of the water pipes from the other buildings nearby, the excavated land had the shape of a cone with diameter D, and height H. If the largest possible cylindrical tank will be placed in the excavated land, what is the percentage of the volume of the excavated land that will be occupied by the water tank.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A new condominium unit decided to place its reserve water tank below ground. The engineers excavated the land near the condominium building. Because of the water pipes from the other buildings nearby, the excavated land had the shape of a cone with diameter D, and height H. If the largest possible cylindrical tank will be placed in the excavated land, what is the percentage of the volume of the excavated land that will be occupied by the water tank.

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