Volume of a Cylinder

Q. How many cubic metres of Earth must be dug to construct a well $14$ m deep and of diameter $1.8$ m?
[2 marks]

1. $64.12$ m${}^3$
2. $40$ m${}^3$
3. $44$ m${}^3$
4. $35.64$ m${}^3$

Q. Find the volume of the cylinder with radius 5 cm and height 14 cm.___

Q.

If a sheet of paper of length 10 cm and breadth 5 cm is rolled along its length to form a cylinder, then find the volume of the cylinder. Take $\pi$ = 3.14.

1. 39.809 $c{m}^3$​

2. 38.908 $c{m}^3$​

3. 39.5 $c{m}^3$​

4. 39.09$c{m}^2$

Q.

A cylinder is formed by rolling a rectangular sheet along its length as shown below. What is the radius of the cylinder?

1. 5 cm

2. $\frac{5}{\pi }$ cm

3. $\frac{10}{\pi }$ cm

4. 2.5 cm

Q.

Find the height of the cylinder whose capacity is 1540 L and diameter of the base is 140 cm?

1. 1 m

2. 10m

3. 10cm

4. 1cm

Q.

A cylindrical tube open at both ends is made of metal. The internal diameter of the tube is 11.2 cm and its length is 21 cm .The metal everywhere is 0.4 cm thick. The volume of the metal used is

1. $316.24c{m}^3$
2. $306.24c{m}^3$
3. $356.24c{m}^3$
4. $300.24c{m}^3$

Q.

If the height of a cylinder becomes one-eighth of the original height and the radius is doubled, then which of the following will be true?

1. Volume of the cylinder will remain unchanged.

2. Volume of the cylinder will be halved.

3. Volume of the cylinder will be thrice that of the original cylinder

4. Volume of the cylinder will be doubled.

Q.

A rectangular paper of width 42 cm is rolled along its length and a cylinder of radius 20 cm is formed. Find the volume of the cylinder.

1. 50 Litres

2. 52.8 Litres

3. 60 Litres

4. 25 Litres

Q.

If the height of a cylinder is halved and its diameter is doubled then, the new volume is the initial volume.

1. Remains same

2. Four times

3. Three times

4. Doubled

Q. Four pipes each of 5 cm in diameter are to be replaced by a single pipe discharging the same quantity of water. If the speed of water remains same in both the cases, then the diameter (in cm) of the single pipe is:

1. 5
2. 6
3. 10
4. 12