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Question

If the height of a cylinder is doubled, by what number must the radius of the base be multiplied so that the resulting cylinder has the same volume as the original cylinder?

(a) 4

(b) 12

(c) 2

(d) 12


Solution

Let V1 be the volume of the cylinder with radius r1 and height h1, then

……. (1)

Now, let V2 be the volume after changing the dimension, then

So,

It is given that V1 =V2Therefpre,

Hence, the correct option is (b)


Mathematics
RD Sharma (2017)
Standard IX

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