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⌠A solid cyUndeYdiameter 12CM aid he/ght |
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Answer» Given :Diameter of cylinder = 12 cmSo, the radius = 12/2 = 6 cmHeight of the cylinder = 15 mLet 'h' be the total height and 'r' the radius of the hemisphere respectively.Now,Radius of hemisphere = Radius of the coneFrom the given information.h = 3rVolume of cylinder = Volume of hemisphere + Volume of coneπr1²h = 12× (2/3πr³ + 1/3πr²h)⇒π(6)²*15 = 12π× {2/3r³ + 1/3r²(3r)}⇒ 36*15 = 12× (2/3r³ + r³)⇒ 36*15 = 12× (5r³/3)⇒ 540 = (60r³/3)⇒ 540 = 20r³⇒ r³ = 540/20⇒ r³ = 27⇒ r =∛27r = 3 cmNow, the radius of the hemisphere is 3 cm.Therefore, height of the toy = 3× 3 = 9 cm Like my answer if you find it useful! |
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