Q. 123.8( 4 Votes )

If the radius of the cylinder is tripled but its curved surface area is unchanged, then its height will be
A. triple

B. constant

C. one-sixth

D. one-third

Answer :

Let H be the new height.


Curved surface area of a cylinder with radius r and height h = 2πrh


Now, according to the question, radius is tripled


Then,


Curved surface area = 2π × 3r × h = 2πrh


6πrh = 2πrh


H =


H = h


Hence ,the new height will be of the original height.

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