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1. A cylinder and a cone have equal bases.The height of the cylinder is 3 cm and thearea of its base is 100 cm². The cone is placedupon the cylinder. Volume of the solidfigure so formed is 500 cm?. Find the totalheight of the figure.Fig 7.10 |
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Answer» Answer: Let HEIGHT of cylinder and CONE be H and h Step-by-step explanation: The cylinder and cone have same bases πr^2=πr^2 Area of Base = 100cm2.....Given The Volume of solid figure=V cylinder +V cone TOTAL Volume = πr^2H + 1/3π^2h Substituting surface area:- total VOL. = 100H+ 1/3 100h 500= 100x3 + 1/3x100h.......Total volume is given 500-300=100h 200x3=100h h=6 Total height = H +h Total height = 3+6 Total height=9cm |
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