Question

In a cylinder if radius is doubled and height is halved, what about its curved surface area?

Answer 1

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Answer 2

Answer:

The curved surface area will remain same.

Step-by-step explanation:

Let the radius of cylinder be r

Let the height of the cylinder be h

Curved surface area of cylinder = $2\pi r h$

Now we are given that the radius is doubled and height is halved

r = 2r

h = h/2

So, new curved surface area of cylinder =  $2\pi(2r)(\frac{h}{2}$

                                                                   =  $2\pi r h$

So, there is no change in the curved surface area of cylinder .

Hence the curved surface area will remain same.