Volume of a Right Circular Cylinder

Q.

The height of a conical vessel is 3.5 cm. If its capacity is 3.3 litres of milk, find the diameter of its base.

Q.

A hollow cylindrical pipe is 210cm long. Its outer and inner diameters are 10cm and 6cm respectively. Find the volume of the copper used in making the pipe (in cubic cm).

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Q. Find the weight of a lead pipe 3.5 m long , if the external diameter of the pipe is 2.4 cm and the thickness of the lead is 2 mm and 1 cu cm of lead weights 11 g .

Q. The cylinder of height $10cm$ and radius is $7cm$ fin the volume of cylinder

Q. The radius and height of a right circular cone are in the ratio $3:4$. If its volume is $96\pi c{m}^3$, what is its slant height?

1. $8$cm
2. $9$cm
3. $10$cm
4. $12$cm

Q. The external diameter of a cylindrical shaped iron pipe is $24cm$ and its length is $20cm$. If the thickness of the pipe is $1cm$, find the total surface area of the pipe(in $c{m}^2$).

Q.

Pavan filled water in a cylindrical vessel of radius 7cm and height 14cm. Then he gently dropped a spherical ball of radius 0.7cm. By how much should the height be increased if he doesn't want water to overflow when the spherical ball is dropped into it? Give the answer in micrometres and correct up to 2 decimal places.

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Q. A roll of newspaper of length 7000 m and thickness 0.022 cm is rolled into a solid cylinder Find its radius

1. 70 cm
2. 35 cm
3. 7 cm
4. 140 cm

Q.

A cylindrical municipal water tank of circumference 132 m and height 25 m can store 2178 lakh liters of water(Take $\pi$= $\frac{22}{7}$)

1. True

2. False

Q.

The ratio of the volumes of a right circular cylinder and a right circular cone of the same base and the same height will be:

1. $1:3$

2. $4:3$

3. $3:1$

4. $3:4$

Q. The volume of a right circular cone is $9856c{m}^3$. If the diameter of the base is $28cm$, find
(i) Height of the cone.
(ii) Slant height of the cone.
(iii) curved surface area of the cone.

Q.

Find the volume of a cylinder at the left. Round your answer to the nearest tenth.

Q. The volume of metallic cylindrical pipe is $748{cm}^3$. Its length is $14cm$ and its external radius is $9cm$. Find its thickness.

1. $1cm$
2. $2cm$
3. $4cm$
4. $3cm$

Q.

A right cylindrical shaped oil tank of height 40 m is completely filled in 20 minutes. If oil filled at a rate of 8$\pi$ cubic meter per minute, then find the radius of the tank.

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Q. In Figure, the radius of the base of the right circular cone is $3$. If the volume of the cone is $12\pi$, find the lateral area of the cone.

1. $12\pi$
2. $15\pi$
3. $36\pi$
4. $18\pi$

Q.

If a tank is in the shape of a right circular cylinder whose radius and height are 7 cm and 14 cm respectively, then the capacity of cylinder is ___ $\times {10}^{-4}{m}^3$.

Q. If the radius of the base of a cylinder is $2$ cm and its height $7$ cm, then its curved surface is

1. $22c{m}^2$
2. $88c{m}^2$
3. $56c{m}^2$
4. $44c{m}^2$

Q. A cuboidal water tank is $6$ m long, $5$ m wide and $4.5$ m deep. How many litres of water can it hold?

Q. The volume of a metallic cylindrical pipe is 748$c{m}^3$. Its length is 14 cm and its external radius is 9 cm. Find its thickness.

Q. Question 1
A cylindrical tube opened at both the ends is made of the iron sheet which is 2 cm thick. If the outer diameter is 16 cm and its length is 100 cm, find how many cubic centimetres of iron has been used in making the tube?

Q.

If a tank is in the shape of a right circular cylinder whose radius and height are 7 cm and 14 cm respectively, then the capacity of cylinder is ___

1. 21.56

2. 23.56 $\times {10}^{-4}{m}^3$.

3. 215.6 $\times {10}^{-5}{m}^3$.

4. 235.6 $\times {10}^{-5}{m}^3$.

Q. In a cylindrical vessel $30800{cm}^3$ water can be filled. If the internal radius of vessel is $14cm$. Find it curved surface area.

Q. A cylindrical tub of radius 16 cm contains water to a depth of 30 cm. A spherical iron ball is dropped into the tub and thus level of water is raised by 9 cm. What is the radius of the ball ?

Q.

Pavan filled water in a cylindrical vessel of radius 7cm and height 14cm. Then he gently dropped a spherical ball of radius 0.7cm. By how much should the height be increased if he doesn't want water to overflow when the spherical ball is dropped into it? Give the answer in micrometres and correct up to 2 decimal places.

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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. The circumference of the base of a right cylinder is 33 cm and height is 330 cm. What is the volume of this cylinder?

1. $28586.25c{m}^3$
2. $3344c{m}^3$
3. $4433c{m}^3$
4. $3456c{m}^3$

Q. The diameter of one of the bases of a truncated cone is $100mm$. If the diameter of this base is increased by $21\%$ such that it still remains a truncated cone with the height and the other base unchanged, the volume also increases by $21\%$. The radius of the other base (in $mm$) is

1. $65$
2. $55$
3. $45$
4. $35$

Q. A shopkeeper has one spherical laddu of radius 5 cm. With the same amount of material, how many laddoos of radius 2.5 cm can be made?

Q. An iron pillar consists of a cylindrical portion $2.8m$ high and $20cm$ in diameter and a cone $42cm$ high is surmounting it. Find the weight of the pillar, given that $1c{m}^3$ of iron weight $7.5g$

Q. A cylindrical roller $2.5m$ in length, $1.75m$ in radius when rolled on a road was found to cover the area of $5500m^2$. How many revolutions did it make?