Volume of Cylinder

Q.

A rectangular sheet of paper of dimensions 44 cm $\times$ 18 cm is rolled once along its length and a cylinder is formed. Find the volume of the cylinder so formed.

1. $2700c{m}^3$

2. $2772c{m}^3$

3. $2800c{m}^3$

4. $2900c{m}^3$

Q.

The ratio of the base radii of two right circular cylinders having the same height is 4 : 5. The ratio of their volumes will be :

1. 4 : 25

2. 16 : 25

3. 4 : 5

4. 16 : 5

Q.

A glass is in the shape of a cylinder of radius 7 cm and height 10 cm. Find the volume of juice in litres required to fill 4 such glasses.

1. 6.62 litres

2. 6.16 litres

3. 10 litres

4. 5 litres

Q.

A solid cylinder has a radius of $2cm$ and a length of $7cm.$. It has a density of $3.1g/c{m}^3$$.$ What is the mass of the cylinder $?$

Q.

What is the volume of a right circular cylinder of base radius 14 cm and height 10 cm ?

1. $5040c{m}^3$

2. $3120c{m}^3$

3. None of these

4. $6160c{m}^3$

Q. Question 19
The rain water from a roof of dimensions 22 m, 20 m drains into a cylindrical vessel having diameter of base 2 m and height 3.5 m. If the rain water collected from the roof just fill the cylindrical vessel, then find the rainfall in cm.

Q.

The initial level of water in a measuring cylinder is $50mL$. When a glass stopper is dropped into it, the level rises to $54.5mL$. Calculate the volume of the stopper in $c{m}^3$.

Q.

If the radius of the base of a cylinder is doubled, keeping the height same, find the ratio of the volume of the new cylinder to that of the original cylinder.

1. 2 :1

2. 3:2

3. 3:1

4. 4:1

Q.

A cubical tank contains 8000 litres of water in it. Find the height of the tank in metres.

1. 2 m

2. 3 m

3. 1 m

4. 4 m

Q.

Find the lateral surface area of the cylinder. Round your answer to the nearest tenth.

Q.

The base radii of two cylinders of same height are in the ratio 3:5. What is the ratio of their volumes?

1. $\frac{3}{5}$

2. $\frac{9}{25}$

3. $\frac{16}{25}$

4. $\frac{3}{25}$

Q. If a sheet of paper of length 10 cm and breadth 5 cm is rolled along its length to form a cylinder, then the space inside the cylinder is .

1. 39.809 $c{m}^3$​
2. 35 $c{m}^3$​
3. 42 $c{m}^3$​

Q. Assertion(A) : The radius of a cylinder is doubled and its height remaining same. Then its volume will be increased four times.

Reason (R): Volume of the cylinder is $\pi r^{2}h$ where, r = radius of base and h = height of the cylinder.

1. both Assertion and Reason are correct but Reason is not correct explanation for Assertion
2. both Assertion and Reason are correct and Reason is correct explanation for Assertion
3. both Assertion and Reason are false
4. Assertion is correct but Reason is false

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 cm
2. 6 cm
3. 10 cm
4. 12 cm

Q.

The cork ball played in the cricket has a diameter of 7 cm .The density of cork used is $0.56gm/{cm}^3$. Calculate the weight of the ball. [3 MARKS]

Q.

A hollow cylindrical pipe is made up of copper and is 210 cm long. The outer and inner radii of the pipe are 10 cm and 6 cm respectively. Find the volume of copper used in making the pipe.

1. $42,140{\text{cm}}^3$

2. $42,240{\text{cm}}^3$

3. $42,440{\text{cm}}^3$

4. $42,340{\text{cm}}^3$

Q.

The radii of two cylinders are in the ratio 3:5. Their heights are in the ratio 10:6. Find the ratio of their volumes.

1. $\frac{9}{25}$

2. $\frac{3}{5}$

3. $\frac{9}{16}$

4. $\frac{3}{16}$

Q.

A hollow cylinder open at both ends is made of steel 2cm thick. What will be the volume of steel used in making the cylinder, if the external diameter is 24cm and the length of cylinder is 55cm?

1. 7598.8 cu.cm

2. 8500 cu.cm

3. 11234 cu.cm

4. 15197.6 cu.cm

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 tank of radius 7 cm contains water. What should be the height of the tank to have a capacity of 7000 $c{m}^3$ ?

1. 45 cm

2. 47 cm

3. 50 cm

4. 45.45 cm

Q.

A juice vendor makes juice in a cylindrical jug of radius 10 cm and height 45 cm. If he serves juice in small cylindrical glasses of radius 3 cm and height 5 cm each, how many glasses of juice can he fill from the jug at a time if the jug is full?

1. 150

2. 200

3. 50

4. 100

Q.

A glass cylinder with diameter 14 cm has water to a height of 7 cm. A metal cube of 8 cm edge is immersed in it completely. Calculate the height by which water will rise in the cylinder.

1. 4 cm

2. 6.6 cm

3. 3 cm

4. 3.3 cm

Q.

Question 1
The circumference of the base of the cylindrical vessel is 132 cm and its height is 25 cm.

How many litres of water can it hold? $(1000c{m}^3=1l)[Assume\pi =\frac{22}{7}]$

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. 39.5 $c{m}^3$​

2. 39.09$c{m}^2$

3. 39.809 $c{m}^3$​

4. 38.908 $c{m}^3$​

Q. The volume of a cylinder of radius 7 cm and height 10 cm is $c{m}^3$.

1. 220
2. 1440
3. 1540

Q.

What is the volume of a cylindrical bottle having base radius 7 cm and height 20 cm.

1. $3080{\text{cm}}^3$

2. $3180{\text{cm}}^3$

3. $3040{\text{cm}}^3$

4. $3140{\text{cm}}^3$

Q. Water is poured into a cylindrical vessel of height 10 m and radius 4 m from a cubical vessel of side 10 m. How much water is left in the cubical vessel?

1. $0.40l$
2. $0.50l$
3. $0.45l$
4. $0.30l$

Q. Water is poured from a cylindrical container of length 10 m and radius 7 m into a cubical tank of side 10 m. Find the amount of water that will spill out of the cubical tank (in litres).

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 space inside the cylinder.

Q.

A cylindrical container of radius 28 m and height 24 m is full of water. The water is emptied into a dry swimming pool of length 100 m and breadth 28 m. Find the rise of water level in the swimming pool.

1. 28.56 m

2. 21.12 m

3. 42. 24 m

4. None of these