# Volume of Cylinder

## Trending Questions

**Q.**

Question 89

How many cubic meters of Earth must be dug to construct a well 7 m deep and of diameter 2.8 m?

**Q.**

The curved surface area of a cylindrical pillar is $264{m}^{2}$ and its volume is $924{m}^{3}$. Find the diameter and the height of the pillar.

**Q.**A square sheet with side 2π cm is rolled into a cylinder along one of its sides. What is the volume of the cylinder?

- 4π2 cm3
- 8π3 cm3
- 2π2 cm3
- 2π4 cm3

**Q.**The volume of a cube is 512 cubic metres. Find the length of the side of the cube ?

- 9 m
- 6 m
- 8 m
- 7 m

**Q.**

Question 90

The radius and height of a cylinder are in the ratio 3 : 2 and its volume is 19404 cm3. Find its radius and height.

**Q.**

The ratio of the radius and height of a cylinder is 2:3. If its volume is 12936cm3, find the total surface area of the cylinder.

**Q.**

A right circular cylinder has a radius of 14 cm and height 42 cm with both upper and lower circular areas closed. The total surface area of the cylinder is equal to ____.

4938 cm2

4928 cm2

4988 cm2

4828 cm2

**Q.**

Rain water from a rectangular 22 m × 20 m roof drains into a cylindrical vessel of diameter 2m and height 3.5 m. If the rain water collected from the roof fills 45 th of the cylindrical vessel then find the rainfall in cm

4 cm

2 cm

7 cm

5 cm

**Q.**

A pipe of internal diameter 20cm from a canal is connected to a cylindrical tank of radius 5m and height 2m. If water flows through the pipe at 6km/hr, how much time will it take for the tank to be filled?

60 min

35 min

50 min

30 min

**Q.**

**Question 14**

The volume of a cylinder whose radius r is equal to its height is

(a) 14πr3 (b) πr332 (c) πr3 (d) πr38

**Q.**

The base diameter of a metallic cylinder is 18cm and its height is 24 cm. It is melted into cylinders of base diameter 12 cm and height 6 cm. How many such small cylinders are formed?

7

8

9

10

**Q.**

**Question 36**

The volume of a cylinder which exactly fits in a cube of side a is

**Q.**

The volume of a glass in the shape of a cylinder whose height is 3 times the radius is 81π m3.The height of the cylinder is:

9m

6m

3m

1m

**Q.**

The base radius of an iron cylinder is 14 cm and its height is 28 cm. It is melted and recast into a cylinder of base radius 20 cm. What is the height of this cylinder of base radius 20 cm?

13.72 cm

14 cm

14.72 cm

15 cm

**Q.**

If the lateral surface of a cylinder is $94.2{\mathrm{cm}}^{2}$and its height is $5\mathrm{cm}$, then find (i) the radius of its base and (ii) its volume.[Use $\mathrm{\pi}=3.14$]

**Q.**

A cylindrical container of length 10m and radius 7m starts pouring water into a cubical tank of side 10m. Find the amount of water that will spill out of the cubical tank (in litres)?

100000 litres

540000 litres

920000 litres

740000 litres

**Q.**

The pillars of an apartment are in a cylindrical shape. If each pillar has a circular base of radius 40 cm and height 20 m, then how much concrete would be required to build 7 such pillars?

7040

70.4

704

7.04

**Q.**

The base raidus of an iron cylinder is 18 cm and its height is 30 cm. It is melted and recast into a cylinder of base 12 cm. What is the height of the new cylinder ?

67.25 cm

67.75 cm

68.23 cm

67.5 cm

**Q.**Find the volume of the cylinder whose radius is 2 cm and height is 4 cm.

- 15π cc
- 10π cc
- 16π cc
- 20π cc

**Q.**Find the height of the cylinder whose volume is 1.54 m3 and diameter of the base is 140 cm.

**Q.**

A metal cylinder of length 34322 m and radius 7m is melted and reconstructed into 7 identical cubical blocks. Find the volume of each block.

900 m3

1000 m3

300 m3

343 m3

**Q.**

The curved surface area of a cylindrical pillar is $264{m}^{2}$ and its volume is $924{m}^{3}$ . Find the diameter and the height of the pillar.

**Q.**A water pipe of internal diameter 20 cm from a canal is connected to a cylindrical tank of radius 5 m and height 2 m. If water flows through the pipe at 6 km/hr, how much time will it take for the tank to be filled?

- 60 minutes
- 50 minutes
- 40 minutes
- 30 minutes

**Q.**Find the height of the cylinder whose volume is 1000π cc and radius is 10 cm.

- 3 cm
- 10 cm
- 2 cm
- 5 cm

**Q.**

**Question ****110**

The capacity of a closed cylindrical vessel of height 1 m is 15.4 L. How many square metres of metal sheet would be needed to make it?

**Q.**

The base radii of two cylinders are in the ratio 3:4 and their heights in the ratio 5:2. The volume of the first cylinder is 300 cm3. What is the volume of the second?

220.55cm3

213.33cm3

219.16cm3

217cm3

**Q.**

A cylindrical bell of radius r and height h has a density ρ. The mass of the bell is:

πρr

^{2}hρ/πr

^{2}hπr

^{2}h/ ρπh/r

^{2}ρ

**Q.**

2.2 cu dm(decimeter cube) of brass is to be drawn into a cylindrical wire of diameter 0.50 cm. Find the length of the wire(in m).

**Q.**Find the height of the cylinder whose volume is 1.54 m3 and diameter of the base is 140 cm.

**Q.**A water pipe of internal diameter 20 ft from a canal is connected to a cylindrical tank of radius 5 yd and height 2 yd. If water flows through the pipe at 6 mi/hr, how much time will it take for the tank to be filled?

- 218, 000 minutes
- 14, 080 minutes
- 140, 800 minutes
- 21, 660 minutes