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| Math Central | Quandaries & Queries |
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Question from Libby, a student: A giant scoop, operated by a crane, is in the shape of a hemisphere of radius 24 inches. The scoop is filled with molten steel. The steel is then poured into a cylindrical storage tank with diameter 32 inches. How high will the molten steel rise? I got the volume of the hemisphere and the volume of the cylinder, but I'm not exactly sure what to do next. |
Hi Libb,
The hemisphere of radius 24 inches is full so the volume is 4/3 π 243 cubic inches. The cylinder has radius 16 inches so is volume is π 162 h cu inches. Thus pi 162 h = 4/3 π 243. Solve for h.
Penny
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