# Surface Area of a Cylinder

## Trending Questions

**Q.**

The diameter of a roller is 84 cm and its length is 120 cm. It takes 500 complete revolutions to move once over to level a playground. What is the area of the playground in m2?

**Q.**

The lateral surface area of a hollow cylinder is 4224 cm2. 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 44 cm×20 cm, 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 1 m is 15.4 L.

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 7 cm. 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 8316cm3, find the total surface area of the cylinder.

**Q.**

A rectangular strip 25 cm×7 cm 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 1232 cm3. 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 m2.

7 m

9 m

10 m

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 ____.

- 2:1
- 3:2
- 4:3
- 5:3

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

- 616 cm2
- 924 cm2
- 2156 cm3

**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 616cm2 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
- 2:1

**Q.**The volume and the curved surface area of a cylinder are 1650cm3 and 660cm2 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) πr(2h+R)

b) 2πr(h+R)

c) 2πrh+πR2

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) 1837 cm2

(b) 1760 cm2

(c) 1942 cm2

(d) 3080 cm2