# Volume of a right circular cylinder

## Trending Questions

**Q.**In each example given below, radius of base of a cylinder and its height are given. Then find the curved surface area and total surface area.

(1) r = 7 cm, h = 10 cm

(2) r = 1.4 cm, h = 2.1 cm

(3) r = 2.5 cm, h = 7 cm

(4) r = 70 cm, h = 1.4 cm

(5) r = 4.2 cm, h = 14 cm

**Q.**Find the area of base and radius of a cylinder if its curved surface area is 660 sqcm and height is 21 cm.

**Q.**A rectangular paper of 44cm X 10 cm is rolled along its length to form a cylinder . What is the radius of its base .

**Q.**Two solids of right cylindrical shape are 49 cm and 35 cm high and their base diameters are 16 cm, 14 cm respectively. Both are melted and moulded into a single cylinder, 56 cm high. Find its base diameter.

**Q.**Calculate the diameter of height 7cm and diameter 7cm.What will be the change in the volume of the cylinder if the diameter is doubled and the height is halved?

**Q.**The internal dimensions of an aquarium is shown in the figure below. Find the volume of water that it can hold.

**Q.**

the diameter of a garden roller is 1.4 m and it is 2m long. how much area it will cover in 4 revolutions?

**Q.**

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

**Q.**Find the area to be painted in the following block with a cylindrical hole. Given that length is 15cm, width 12cm, height 20cm and radius of the hole 2.8cm.

**Q.**

250 cylinders cups have to be filled with soup. If the height of the bowl is 4cm and diameter is 7 cm find the total volume of the soup required.(1000cm3=1L)

**Q.**A brick weighing 40N having dimensions of 25cm×10cm×5cm is kept on a table with its three different sides one by one. Calculate the pressure exerted in each of the three cases

**Q.**Find the number of coins, 1.5 cm in diameter and 0.2 cm thick, to be melted to form a right circular cylinder with a height of 10 cm and a diameter of 4.5 cm.

**Q.**

A company packages its milk powder in the cylindrical container whose base has a diameter of 14cm and height 20cm. Company places a label around the surface of the container (as shown in the figure). If the label is placed 2cm from top and bottom, what is the surface area of the label.

- 704cm2
- 784cm2
- 74cm2
- None of these

**Q.**A cone and a cylinder have a radius and height of 3 cm and 5 cm respectively. The ratio of the volume of cone to that of the cylinder is equal to

- 1:3
- 3:1
- 1:4
- 4:1

**Q.**

An iron tank with an open top is cylindrical in shape. It has a height 10m and radius 7m. It gets corroded at a rate of 3 sq. meter/day. The number of days in which it gets completely corroded is (Take pi=227)

192

202

198

208

**Q.**A cylindrical pole having a height of 20 m, and a base radius of 6 m is placed on a hill station. Due to some external force, the pole gets tilted a little to its right side. What is the volume of the pole after the external force has been applied to it? (in m3)

- 2400

**Q.**

How many cylindrical containers of r = 0.5cm and h= 7cm is required to completely filled a cylindrical container of radius 5 cm and height 14 cm?

**Q.**A solid cuboid of iron with dimensions 53cm\ast40cm\ast15cm is melted and recasted into a cylindrical pipe. The outer and inner diameters of pipe are 8cm and 7cm respectively. Find the lenght of pipe?

**Q.**Tom wants to make a model rocket with the following dimensions:

Find the volume of the model rocket.

**Q.**Tick (✓) the correct answer:

The number of coins, each of radius 0.75 cm and thickness 0.2 cm, to be melted to make a right circular cylinder of height 8 cm and base radius 3 cm is

(a) 460

(b) 500

(c) 600

(d) 640

**Q.**A rectangular sheet of paper 30 cm×18 cm can be transformed into the curved surface of a right circular cylinder in two ways i.e., either by rolling the paper along its length or by rolling it along its breadth. Find the ratio of the volumes of the two cylinders thus formed.

**Q.**The radii of two cylinders are in the ratio of 2:3 and their heights are in the ratio of 5:3. The ratio of their volumes is:

- 9:4
- 20:27
- 27:20
- 4:9

**Q.**The circumference of the base of a cylinder is 180 cm and its height is 30 cm. Find its surface area.

**Q.**A cuboidal water tank contains 216 litres of water. Its depth is 13 of its length and breadth is 12 of 13 of the difference between length and depth. The length of the tank is

- 720 dm
- 18 dm
- 6 dm
- 2h dm

**Q.**Find the area to be painted in the following block with a cylindrical hole. Given that length is 15cm, width 12cm, height 20cm and radius of the hole 2.8cm.

**Q.**A road roller takes 750 complete revolutions to move once over to level a road. Find the area of the road if the diameter of a road roller is 84cm and length is 1m.

- 1980m2
- 2080m2
- 1980cm2
- None of these

**Q.**Water is flowing at the rate of 7 meters per second through a circular pipe whose internal diameter is 2cm into a cylindrical tank the radius of whose base is 40cm. Determine the increase in the water level in 12 hour.

**Q.**The curved surface area of a cylindrical pillar is 264 m

^{2}and its volume is 924 m

^{3}. Find the diameter and height of the pillar.

**Q.**

A cricket ball of radius r is exactly fitted in a cylindrical tin as shown in the figure below. The ratio of surface area of cricket ball to the surface area of the tin is

1:3

2:3

3:2

3:1

**Q.**Water flows at the rate of 10 metre per minute through a cylindrical pipe having its diameter 30 mm. How much time will it take to fill a conical vessel of base diameter 40 cm and depth 24 cm?