Volume of Cylinder

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 $264m^2$ and its volume is $924m^3$. 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?

1. 4${\pi }^2$ cm${}^3$
2. 8${\pi }^3$ cm${}^3$
3. 2${\pi }^2$ cm${}^3$
4. 2${\pi }^4$ cm${}^3$

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

1. 9 m
2. 6 m
3. 8 m
4. 7 m

Q.

Question 90

The radius and height of a cylinder are in the ratio 3 : 2 and its volume is $19404c{m}^3$. Find its radius and height.

Q.

The ratio of the radius and height of a cylinder is $2:3$. If its volume is $12936c{m}^3$, 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 ____.

1. $4938{\text{cm}}^2$

2. $4928{\text{cm}}^2$

3. $4988{\text{cm}}^2$

4. $4828{\text{cm}}^2$

Q.

Rain water from a rectangular 22 m $\times$ 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 $\frac{4}{5}$ th of the cylindrical vessel then find the rainfall in cm

1. 4 cm

2. 2 cm

3. 7 cm

4. 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?

1. 60 min

2. 35 min

3. 50 min

4. 30 min

Q.

Question 14

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

(a) $\frac{1}{4}\pi r^3$ (b) $\frac{\pi r^3}{32}$ (c) $\pi r^3$ (d) $\frac{\pi r^3}{8}$

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?

1. 7

2. 8

3. 9

4. 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 $81\pi m^3$.The height of the cylinder is:

1. 9m

2. 6m

3. 3m

4. 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?

1. 13.72 cm

2. 14 cm

3. 14.72 cm

4. 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)?

1. 100000 litres

2. 540000 litres

3. 920000 litres

4. 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?

1. 7040

2. 70.4

3. 704

4. 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 ?

1. 67.25 cm

2. 67.75 cm

3. 68.23 cm

4. 67.5 cm

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

1. 15π cc
2. 10π cc
3. 16π cc
4. 20π cc

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

Q.

A metal cylinder of length $\frac{343}{22}$ m and radius 7m is melted and reconstructed into 7 identical cubical blocks. Find the volume of each block.

1. 900 $m^3$

2. 1000 $m^3$

3. 300 $m^3$

4. 343 $m^3$

Q.

The curved surface area of a cylindrical pillar is $264m^2$ and its volume is $924m^3$ . 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?

1. 60 minutes
2. 50 minutes
3. 40 minutes
4. 30 minutes

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

1. 3 cm
2. 10 cm
3. 2 cm
4. 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 $c{m}^3$. What is the volume of the second?

1. $220.55c{m}^3$

2. $213.33c{m}^3$

3. $219.16c{m}^3$

4. $217c{m}^3$

Q.

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

1. πρr²h

2. ρ/πr²h

3. πr²h/ ρ

4. πh/r² 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 $1.54m^3$ 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?

1. 218, 000 minutes
2. 14, 080 minutes
3. 140, 800 minutes
4. 21, 660 minutes