Volume of a right circular cylinder

Q.

If the radius of a cylinder is doubled and height is halved find the change in the volume.

Q.

The number of coins of $1.5cm$ in diameter and $0.2cm$ thick, to be melted to form a right circular cylinder of height $10cm$ of diameter $4.5cm$ is

(a) $540$ (b) $450$ (c) $380$ (d) $472$

Q. How many spherical bullets can be made out of a solid cube of lead whose edge measures 44cm, each bullet being 4cm in diameter.

Q.

If a cone and a sphere have equal radii and equal volumes, what is the ratio of the diameter of the sphere to the height of the cone?

1. $\frac{1}{1}$

2. $\frac{1}{2}$

3. $\frac{2}{1}$

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

Q. Question 6
A school provides milk to the students daily in cylindrical glasses of diameter 7 cm. if the glass is filled with milk upto a height of 12 cm, find how many litres of milk is needed to serve 1600 students.

Q.

If the radius of a cylinder is doubled and the height remains same, the volume will be

(a) doubled (b) halved

(c) same (d) four times

Q.

A metal pipe is $77cm$ long .the inner diameter of a cross section is $4cm$, the outer diameter being $4.4cm$. find its total surface area.

Q.

In a cylinder, if radius is halved and height is doubled, the volume will be (a) same (b) doubled

(c) halved (d) four times

Q.

$\text{A cone and a hemisphere and a cylinder stand on equal bases and have the same height.The ratio of their volumes is}\left(a\right)1:2:3\left(b\right)2:1:3\left(c\right)2:3:1\left(d\right)3:2:1$

Q.

The total surface area of a solid cylinder is $231c{m}^2$ and its curved surface area is $\frac{2}{3}$ of the total surface area. Find the volume of the cylinder.

Q.

The diameter of a cylinder is 28 cm and its height is 40 cm .Find the curved surface area, total surface area and the volume of the cylinder.

Q.

A lead pencil consists of a cylinder of wood with a solid cylinder of graphite filled in the interior.The diameter of the pencil is 7 mm and the diameter of the graphite is 1 mm.If the length of the pencil is 14 cm, find the volume of the wood and that of the graphite.
$[Assume\pi =\frac{22}{7}]$

Q.

A hollow garden roller, $63cm$ wide with a girth of $440cm$, is made of $4cm$ thick iron. Find the volume of the iron.

Q.

The ratio between the radius of the base and height of a cylinder is 2:3. If its volume is 1617 $c{m}^3$, find the total surface area of the cylinder.

Q.

A copper wire of diameter $6mm$ is evenly wrapped on a cylinder of length $15cm$ and diameter $49cm$ to cover its whole surface. Find the length and volume of the wire. If the specific gravity of copper is $9$ grams per cubic cm. Find the weight of the wire

Q. A soft drink is sold in aluminum cans of cylindrical shape that measure 6 inches in height and 2 inches in diameter. How much soda is filled if 10% of capacity is empty? (in cu in)

1. 12.8
2. 24
3. 16.92
4. 18.82

Q.

The barrel of a fountain pen, cylindrical in shape, is 7 cm long and 5 cm in diameter. A full barrel of ink in the pen will be used up on writing 330 words on an average. How many words would use up a bottle of ink containing on fifth of litre?

Q.

A cylindrical tub of radius 12 cm contains water to a depth of 20 cm. A spherical iron ball is dropped into the tub and thus the level fo water is raised by 6.75 cm.What is the radius of the ball ?

Q.

Find the weight of a solid cylinder of radius 10.5 cm and height 60 cm if the material of the cylinder weight 5 g per $c{m}^3$

Q. Radius of base of a cylinder is 20 cm and its height is 13 cm, find its curved surface area and total surface area. ( $\mathrm{\pi }$ = 3.14)

Q.

The pillars of the temple are cylindrically shaped. Each pillar has a circular base of radius $20cm$ and height $10m$. How much concrete mixture would be required to build $14$ such pillars?

Q.

A cylindrical tube, open at both ends, is made of metal. The internal diameter of the tube is 10.4 cm and its length is 25 cm. The thickness of the metal is 8 mm everywhere. Calculate the volume of the metal.

Q.

The lateral surface area of a cylinder is $94.2c{m}^2$ and its height is 5 cm. Find (i) the radius of its base and (ii) its volume .(Take $\pi$=3.14 .)

Q.

A solid cylinder has a total surface area of $462c{m}^2$, if its curved surface area is one third of its total surface area. find the radius and height of the cylinder

Q.

A birthday cap is of cone shape with base radius 7 cm and height 24 cm. The area of the colour sheet required to make 10 such caps is 5500 ${cm}^2$(Take $\Pi$= $\frac{22}{7}$)

1. True

2. False

Q.

The inner diameter of a cylindrical wooden pipe is 24 cm and its outer diameter is 28 cm. The length of the pipe is 35 cm. Find the mass of the pipe, if $1c{m}^3$ of wood has a mass of 0.6 gm.

Q. how many cylindrical glasses of diameter 8cm and height 15cm can be filled with juice from a cylinder vessel of diameter 30cm and height 64cm.

Q.

A sphere is placed inside a right circular cylinder so as to touch the top, base and lateral surface of the cylinder. If the radius of the sphere is r, then the volume of the cylinder is

1. $4\pi r^3$
   

2. $\frac{8}{3}\pi r^3$
   

3. $2\pi r^3$
   

4. $8\pi r^3$
   

Q.

Two cylindrical jars have their diameters in the ratio 3:1, the height 1:3. Then the ratio of their volumes is

(a) 1 : 4

(b) 1 : 3

(c) 3 : 1

(d) 2 : 5

Q.

The total surface area of a cylinder is 462 $c{m}^2$. Its curved surface area is on third of its total surface area. Find the volume of the cylinder.