Question

If radius of the base a cylinder is doubled and the height is halved,

(i) How many times will its curved surface area increase?

(ii) How many times will its volume increase?​

Answer 1

Answer:

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Step-by-step explanation:

If the radius of a cylinder is doubled and height is halved, the volume will be doubled. If the radius of a cylinder is doubled and height is halved, the volume will be doubled

Answer 2

CSA of Cylinder = 2 x pi x r x h

R = 2r
H = h /2
CSA = 2 x pi x 2r x h/ 2 = 2x pi x r x h = unchanged


Volume = Pi x r2 x h
If R = 2 r and H = h /2
Volume = pi x 4r2 x h/2
= pi x r2 x h x 2
= volume is doubled