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

MCQ

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

• doubled

• halved

• same

•  four times

#### Solution

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

V_1 = pi r_1^2 h_1……. (1)

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

r_2 = r_1 , h_2 = 2h_1

So,

V_2 = pi r_2^2 h_2 = pi xx r_1^2 xx 2h_1

⇒ V_2 = 2 xx pir_1^2 h_1 = 2V_1

Is there an error in this question or solution?

#### APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 19 Surface Areas and Volume of a Circular Cylinder
Q 8 | Page 29