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?
1 answer:
Answer:
40 inches
Step-by-step explanation:
Volume, V of hemisphere = 2/3 π r^3
Radius, r = 24 inches ;
V = 2/3 π 24^3
V = 28952.917 in³
Volume of cylinder = π r^2 * h
h = height ; r = Radius = 32 /2 = 16 inches
Volume of hemisphere = volume of cylindrical tank
28952.917 = π (16)^2 * h
28952.917 = 804.24771h
h = 28952.917 / 804.24771
h = 35.9999
h = 40 inches
Molten stell rise is 40 inches
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