Question

In a cylinder, if radius is doubled and height is halved, curved surface area will be
A. halved
B. doubled
C. same
D. four times

Answer 1

Let the radius of the cylinder be 'r' and  the height of the cylinder be 'h'.

Curved surface area of cylinder = 2πrh

Now, radius become  doubled = 2r

Height becomes halved = h/2

New curved surface area = 2 × π × 2r × h/2 = 2πrh  

Hence curved surface area is SAME.

Option (C) Same is correct.

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Answer 2

Let the radius of the cylinder be 'r' and  the height of the cylinder be 'h'.

• Curved surface area of cylinder = 2πrh

Now, radius is  doubled = 2r

Height is halved = h/2

New curved surface area = 2 × π × 2r × h/2 = 2πrh  

thus, curved surface area is SAME.