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Find the ratios of volume of Cylinder , Cone and Sphere ,If they have same radius and same height.?? |
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Answer» Since, the height of a sphere is the diameter, the cone and cylinder have height 2R. Then Curved SURFACE area of Sphere= 4πr²Curved surface area of cylinder = 2πr(2r) = 4πr²Curved surface area of cone = πrlwhere, l = √(r2 + h2 ) = √( r2 + (2r)2) = √(5r2) = r√5 ⇒ Curved surface area of cone = π√5r2 Now, Ratio of CSA 's a sphere ,cylinder and a cone = 4πr2:2πrh : πrl= 4πr2:4πr2 : πr2√5= 4 : 4 : √5Step-by-step explanation:Hope this will HELP you. |
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