Surface Area of a Cylinder

Q.

The diameter of a roller is $84cm$ and its length is $120cm.$ It takes $500$ complete revolutions to move once over to level a playground. What is the area of the playground in $m^2$?

Q.

The lateral surface area of a hollow cylinder is $4224c{m}^2$. It is cut along its height and formed a rectangular sheet of width $33cm$. Find the perimeter of rectangular sheet?

Q.

The radii of two cylinders are in the ratio of $2:3$ and their heights are in the ratio $5:3$. Calculate the ratio of their curved surface areas.

Q. Question 10
A company packages its milk powder in a cylindrical container whose base has a diameter of 14 cm and height 20 cm. The company places a label on the surface of the container (as shown in the figure). If the label is placed 2 cm from top and bottom, what is the area of the label?

Q.

A rectangular sheet of paper $44cm\times 20cm$, is rolled along its length to form a cylinder. Find the total surface area of the cylinder thus generated.

Q.

The capacity of a closed cylindrical vessel of height $1m$ is $15.4L$.

How many square metres of metal sheet would be needed to make it?

Q.

The total surface area of a hollow cylinder which is open from both sides is $4620sq.cm$, area of the base ring is $115.5sq.cm$ and height $7cm$. Find the thickness of the cylinder.

Q.

Find the curved surface area and total surface area of a cylinder, the diameter of whose base is 7cm and height is 60cm.

Q.

The radius and height of a cylinder are in the ratio 7 : 2. If the volume of the cylinder is $8316c{m}^3$, find the total surface area of the cylinder.

Q.

A rectangular strip $25cm\times 7cm$ is rotated about the longer side. Find the total surface area of the solid thus generated.

Q.

The volume of a cylinder of height 8 cm is $1232c{m}^3$. Find its curved surface area and the total surface area.

Q.

A cylindrical vessel open at the top has diameter 20cm and height 14cm. Find the cost of the tin- plating it on the inside at the rate of 50 paise per hundred square centimetre.

Q.

Find the ratio between the total surface area of a cylinder to its curved surface area, given that its height and radius are 7.5 cm and 3.5 cm.

Q.

A closed cylindrical tank of diameter 14 m and height 5 m is made from a sheet of metal. How much sheet of metal will be required?

Q.

Question 12

If the radius of a cylinder is tripled but its curved surface area is unchanged, then its height will be
(a) tripled (b) constant
(c) one-sixth (d) one-third

Q.

Find the height of a cylinder whose radius is 7 m and total surface area is 968 $m^2$.

1. 7 m

2. 9 m

3. 10 m

4. 15 m

Q.

The ratio of the total surface area to the lateral surface area of a cylinder whose radius is 20 cm and height 60 cm, is

(a) 2:1

(b) 3:2

(c) 4:3

(d) 5:3

Q. Question 9
A road roller takes 750 complete revolutions to move once over to level a road. Find the area of the road if the diameter of a road roller is 84 cm and length 1 m.

Q. The ratio of total surface area to lateral surface area of a cylinder whose radius is 20 cm and height 60 cm is ____.

1. 2:1
2. 3:2
3. 4:3
4. 5:3

Q. Match the following for a cylinder of radius 7 cm and height 14 cm.

1. 616 $c{m}^2$
2. 924 $c{m}^2$
3. 2156 $c{m}^3$

Q.

The height of a circular cylinder is 20 cm and the diameter of its base is 14 cm. Find:

i) Its volume

ii) Its total surface area.

Q.

The area of the base of a right circular cylinder is $616c{m}^2$ and its height is 2.5 cm. Find the curved surface area of the cylinder.

Q. Ratio between the curved surface area and the total surface area of a right circular cylinder is 1:2. Ratio between height and radius of cylinder is .

1. 1:1
2. 1:2
3. 2:1

Q. The volume and the curved surface area of a cylinder are $1650c{m}^3$ and $660c{m}^2$ respectively. Find the radius and height of the cylinder.

Q.

A closed cylindrical tank of radius 7 m and height 3 m is made from a sheet of metal.How much sheet of metal is required?

Q.

The circumference of the base of a cylinder is 88cm and its height is 15cm. Find its curved surface area and total surface area.

Q.

Question 28

If R is the radius of the base of the hat, then the total outer surface area of the hat is

a) $\pi r(2h+R)$
b) $2\pi r(h+R)$
c) $2\pi rh+\pi R^2$
d) None of these

Q.

Question 44

Total surface area of a cylinder of radius h and height r is ___

Q.

Find the volume, curved surface area and total surface area of each of the cylinders whose dimensions are:

(i) radius of the base = 7 cm and height = 50 cm

(ii) radius of the base = 5.6 m and height = 1.25 m

(iii) radius of the base = 14 dm and height = 15 m

Q.

The height of a cylinder is 80 cm and the diameter of its base 7 cm.The whole surface area of the cylinder is

(a) $1837c{m}^2$

(b) $1760c{m}^2$

(c) $1942c{m}^2$

(d) $3080c{m}^2$