SOLUTION: It is a storage tank. So something must be inside it. So it will be hollow and it will have two radii (inner and outer). You have given only one diameter. So I presume that you hav

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Question 40804: It is a storage tank. So something must be inside it. So it will be hollow and it will have two radii (inner and outer). You have given only one diameter. So I presume that you have given inner diameter as the capacity is to be calculated and it cannot be calculated without knowing the inner diameter.
Let the inner radius of the cylinder be 'r' metres.
From your question it appears that the inner diameter of the hemispherical shell is also 'r' metres.
Let the height of the cylindrical portion only be 'h' metres.
Then h + r = 16.5 m
But r = 4.7 m, so h = 16.5 - 4.7 = 11.8 m
So volume of cylindrical portion = pi%2Ar%5E2%2Ah = pi%2A4.7%5E2%2A11.8 = 818.9 m%5E3.
Also the volume of the hemispherical portion = 2%2F3%2Api%2Ar%5E3 = 2%2F3%2Api%2A4.7%5E3 = 217.45 m%5E3.
Thus total capacity of the tank = 818.9 + 217.45 = 1036.35 m%5E3.
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