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It depends on its dimensions

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12y ago

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What is the volume of a prism is 35 cm.what is this prism measured in mm3?

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The volume is 3500000/3 π mm3 ~=3665191 mm3 (~= 3.67 litres). A cylinder normally has a constant cross section. What you have is a cone with the top chopped off, thus its volume is the volume of the whole cone minus the volume of the top cone: The diameter reduces from 200mm to 100mm (that is 100mm) in 200mm height so it will reduce from 100mm to 0mm (that is a further 100mm) in a further 200mm height. So the "whole" cone has a height of 200mm+200mm = 400mm and the "top" cone has a height of 200mm. The volume of a cone is 1/3πr2h, so the volume of the "cylinder" is: volume = volume_whole_cone - volume_top_cone = 1/3π(200 ÷ 2)2400 mm3 - 1/3π(100 ÷ 2)2200 mm3 = 200/3π(1002x2 - 502) mm3 = 3500000/3 π mm3 ~= 3665191 mm3 ~= 3665 cm3 = 3.665 litres.


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