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A cylinder is shown. A half-sphere is stacked on the top and the bottom of the cylinder. The diameter of the cylinder if 20 and the height of the cylinder is 28.
Which expression represents the volume, in cubic units, of the composite figure?
(Four-thirds)π(103) + π(102)(28)
(Four-thirds)π(203) + π(202)(28)
2(Four-thirds)π(103) + π(102)(28)
2(Four-thirds)π(203) + π(202)(28)
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GPT-5 mini
AI
The two halves make one full sphere of radius 10 (diameter 20). Cylinder radius = 10, height = 28. So volume =
(4/3)π(10^3) + π(10^2)(28).
Thus the correct choice is: (4/3)π(10^3) + π(10^2)(28).
(4/3)π(10^3) + π(10^2)(28).
Thus the correct choice is: (4/3)π(10^3) + π(10^2)(28).
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