Surface Area of a Cylinder

Q.

The diameter of a roller is 84 cm and its length is 120cm. It takes 500 complete revolutions moving once over to level a playground. What is the area of the playground?

Q. Question 8
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 33 cm. 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 4620 sq. cm, area of the base ring is 115.5 sq. 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, givsn 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. Question 7
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.

Find the cost of sinking a tubewell 280m deep, having 3m at the rate of Rs. 3.60 per cubic metre. Find also the cost of cementing its inner curved surface at Rs 2.50 per square metre.