MCQ

If the height of a cylinder is doubled and radius remains the same, then volume will be

#### Options

doubled

halved

same

four times

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#### Solution

Let V_{1} be the volume of the cylinder with radius r_{1} and height h_{1}, then

`V_1 = pi r_1^2 h_1`……. (1)

Now, let V_{2} be the volume after changing the dimension, then

`r_2 = r_1 , h_2 = 2h_1`

So,

`V_2 = pir_2^2 h_2 = pi xx r_1^2 xx 2h_1`

`⇒ V_2 = 2 xx pi r_1^2 h_1 = 2V_1`

Concept: Surface Area of Cylinder

Is there an error in this question or solution?

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