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50 circular plates, each of radius 7 cm and thickness-cm, \are placed one above another to form a solid right circularcylinder. Find the total surface area and the volume of thecylinder so formed.2. |
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Answer» Since the radius of the cylinder is same asthe radius of the circular plate.So, the radius of the base of the cylinder = 7 cmHeight of the cylinder is same as the thickness of 50 circular plates.Thickness of 1 plate = 1/2 cmThen, thickness of 50 plates = 50*1/2= 25 cmHeight of the cylinder = 25 cmTotal surface area of cylinder = 2πr(r+h)= 2*22/7*7(7+25)= 44*32Total surface area of the cylinder = 1408 sq cmVolume of the cylinder =πr²h= 22/7*7*7*25= 3850 cu cmVolume of the cylinder is 3850 cu cm |
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