Question

A sphere, a cylinder and a come are of the same radius and same height. find the ratio of their curved surface areas

Answer 1

Since, the height of a sphere is the diameter, the cone and cylinder have height 2r.  

Then  

Curved surface area of Sphere= 4πr²

Curved surface area of cylinder = 2πr(2r) = 4πr²

Curved surface area of cone = πrl

where, 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 : √5

Answer 2

Answer:

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Step-by-step explanation: