Volume of a Cylinder

Q.

An iron pipe $20cm$ long has exterior diameter $25cm$. If it's thickness is $1cm$ then find the whole surface area of the pipe.

Q.

The circumference of the base of cylindrical vessel is 132 cm and its height is 25 cm. How many litres of water can it hold? (1000 cm³ = 1l)

Q.

A well with 10 m inside diameter is dug 14m Deep Earth taken out of it is spread all around to a width of 5m to form an embankment

Q.

THE CURVED SURFACE AREA OF THE CYLINDER IS 1760 CM. SQUARE AND IT VOLUME IS 12320 CUBIC CM .FIND ITS HEIGHT.

Q. A cylindrical metallic pipe is 14cm long. The difference between the outside and inside surface areas is 44cm². If the pipe is made up of 99cm³ of metal, find the putter and inner radio of the pipe.

Q.

The area of the base of a right circular cone is $\mathbf{78}\mathbf{.}\mathbf{5}\mathbf{}{\mathbf{cm}}^{\mathbf{2}}$. If its height is $\mathbf{12}\mathbf{}\mathbf{cm}$, find the volume.

Q. A well of inner diameter 14 M is dug to a depth of 15 M Earth taken out it has been evenly spread out around it to our weight of 7 meter to form an embankment find the height of embankment so formed

Q.

If the base radius and the height of a right circular cone are increased by 20 %, then the percentage increase in volume is approximately

1. 78

2. 73

3. 60

4. 68

Q.

If the curved surface area of a right circular cylinder of height 14 cm is 616 cm². Its volume is

1. 1285 cm³

2. 2275 cm³

3. 1375 cm³

4. 2156 cm³

Q.

A rectangular paper is $44cm$ long and $20cm$ wide. A cylinder is formed by rolling the paper along its length. The volume of the cylinder will be

1. $3050c{m}^3$

2. $3080c{m}^3$

3. $3000c{m}^3$

4. $3800c{m}^3$

Q.

If the radius of a cylinder is reduced by 50%, then the volume of the cylinder will be reduced by_____.

1. 25%

2. 50%

3. 75%

4. 40%

Q. The volume of a cylindrical bottle of radius 2 cm is 88cm^3 then it's height is

Q. Volume of a hollow cylinder of height 'h', outer radius 'R' and inner radius 'r' is $\pi (R^2-r^2)h$.

1. True
2. False

Q. The length of a cylinder is measure by a meter rod haveing least count 0.1 . its diameter is measure with vernier callipers have least count 0.01 cm. Given length is 5.00cm and radius is 2.00cm. The percentage error in calculated value of volume is ?

Q. What is the radius of the cylinder which is made up of rectangular sheet which has a length of 10 cm and breadth 6 cm .
plz do it step by step

Q.

The height of a right circular cylinder with lateral surface area 792 sq cm is 21 cm. The diameter of the base is:

1. 6 cm

2. 3 cm

3. 12 cm

4. 24 cm

Q.

Find the quantity of concrete required to make 70 cylindrical pillars of radius $5cm$ and height $10m$.

1. $6.5m^3$

2. $5.5m^3$

3. $6m^3$

4. $4.4m^3$

Q.

If the curved surface area of a right circular cylinder of radius 14 cm is 880 cm². Its volume is

1. 4630 cm³

2. 3560 cm³

3. 6160 cm³

4. 8400 cm³

Q. A rectangular sheet of paper, 44 cm × 20 cm, is rolled along its length of form a cylinder. Find the volume of the cylinder so formed.

Q.

A right circular cylinder has a base with a diameter 7 cm and height 10 cm. The total area of the cylinder is

1. 397 cm²

2. 594 cm²

3. 234 cm²

4. 297 cm²

Q.

Question 5 (iii)
It costs Rs. 2200 to paint the inner curved surface of a cylindrical vessel 10 m deep. If the cost of painting is at the rate of $Rs20per{m}^2$, find:

(iii) Capacity of the vessel

$[Assume\pi =\frac{22}{7}]$

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

Q.

If the lateral surface of a cylinder is 94.2 cm² and its height is 5 cm, then find (i) radius of its base (ii) its volume. [Use π = 3.14]

Q. Water flows through a cylindrical pipe, whose inner radius is 1cm, at the rate of 80cm/sec in an empty cylindrical tank , the radius of base is 40 cm.What is the rise of water level in tank in half an hour?

Q. 70 cylindrical pillars each of radius 10 cm and height 20 m would require $m^3$ of concrete.

1. 4.4
2. 44
3. 0.44

Q. The ratios of the heights and the radii of the cylinders are 1:2 and 2:1 respectively. Find out the ratio of their volumes.

Q.

A factory is designed as shown in the figure. There are 150 people working in the factory and each occupy a space of 0.5 $m^3$. Find the maximum volume available to place machinery in the factory. (Take $\pi =\frac{22}{7}$)

1. 5880m³

2. 8960m³

3. 8885m³

4. 5805m³

Q. A rectangular sheet of paper 66cm×20cm is rolled along its length to form a cylinder. Find the volume of the cylinder so formed.

Q.

If the lateral area of a cylinder of radius 13 cm and height 21 cm is to be covered with paper, then the area of the paper required is

1. 1716 sq cm

2. 2345 sq cm

3. 1588 sq cm

4. 3210 sq cm

Q. Find the height of a cylinder whose volume in $1.54m^3$ and diameter of the base is $140cm.$