Viva Voce: Volume of a Cylinder - Class 10 PDF Download

Q.1. If the radius of base of cylinder is doubled then the volume of this cylinder will be.

Four times

Q.2. If the height of a circular cylinder is reduced to one-fourth and the radius of base is doubled, then what effect will be on the volume of the cylinder?

No effect

Q.3. If the radius of the base of a right circular cylinder is halved keeping the height same, then what is the ratio of the volume of the reduced cylinder to that of the original cylinder?

1:4

Q.4. The cylindrical cans have bases of same size. One of the cans is 10 cm in height and the other is 20 cm in height. What is the ratio of their volumes ?

1:2

Q.5. If the radius of base of a right-circular cylinder is halved, then by how much its volume will decrease?

One-fourth

Q.6. If r is radius and h be height, then volume of a cylinder.

πr²h

Q.7. What is the volume of a right circular cylinder of height 21 cm and base radius 5 cm?

1650 cm

Q.8. Is the volume of a cylinder 3 times the volume of a cone of same height and same diameter of the base?

Yes

Q.9. What Happens to the Volume of Cylinder When Its Radius Is Halved?

The volume of cylinder varies directly with the square of its radius. Thus, when its radius is halved, the volume becomes 1/4^th.

Q.10. How To Find Volume of Cylinder With Circumference and Height?

We know that the circumference of a circle of radius 'r' is C = 2πr. Thus, when the circumference of the base of a cylinder (C) and its height (h) are given, then we first solve the equation C = 2πr for 'r' and then we apply the volume of a cylinder formula, which is, V = πr²h.