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Surface area of right circular cylinder

Total questions: 25

Worksheet time: 50mins

Name
Class
Date
1.

The pringles brand has decided to restructure their packaging of chips. The design of the package is cylindrical in shape with radius 4.4cm and length of the packaging is 14cm. Help them find the area for which the label can be printed across the box.

a)

387.2cm2

b)

388.6cm2

c)

386.4cm2

d)

384.8cm2

2.

44cm length and 18 cm breadth of paper is wrapped around the length to create a cylinder. Then what is the total surface area?

a)

847.47m2

b)

842.38cm2

c)

843.56cm2

d)

843.81m2

3.

Find the total surface area of the cylinder given radius 7 cm and height 27cm

a)

1168cm2

b)

1178cm2

c)

1198cm2

d)

1188cm2

4.

The area of the circle is 132m2. The length of the cylinder is 5m. The curved area is

a)

204.83m2

b)

203.86m2

c)

205.79m2

d)

201.32m2

5.

Starbucks gives coffee in paper cups. The lids for paper cups got over in the store and the curved surface area of the cup is 880cm2. Help him find the lid size for the cup with height 20cm.

a)

11cm height

b)

7cm radius

c)

10cm height

d)

14cm radius

6.

The curved surface area of the pillar is 308m2  and radius of the pillar is 1m. Find the height of the pillar

a)

49m

b)

42m

c)

44m

d)

46m

7.

Curved surface area of a cylinder having base radius “r” and height “h” is equal to __________

a)

2πr(h + r)

b)

4πr2

c)

2πr2

d)

2πrh

8.

A water well has a height of 8m and diameter of 3.5m. What is the cost of plastering its total surface and base at the rate of ₹50/m2? (Take π = 22/7)

a)

 ₹15000

b)

₹14500

c)

₹14000

d)

₹14700

9.

Total surface area of a cylinder having base radius “r” and height “h” is equal to __________

a)

 2πrh

b)

4πr2

c)

2πr(h + r)

d)

 2πr2

10.

The cylinder has a radius 6 units and height 12 units, find the ratio of total surface area to curved surface area

a)

 3:4

b)

2:3

c)

3:2

d)

4:3

11.

If the diameter of base of a cylinder is 28 cm and height is 20 cm is cut into two equal parts to get two cylinders, then the percentage of increase in total surface area is (no material is lost during the cutting of the surface)

a)

 41%

b)

42%

c)

 45%

d)

41.17%

12.

Samuel has a cylinder of surface area 1728π square units. Find the height of the cylinder if the radius of the base of the circle is 24 units.

a)

16

b)

8

c)

14

d)

12

13.

A roller has a radius of 2m and length of 10.5m. How many revolutions are required to complete an area of 6996m2

a)

52

b)

53

c)

54

d)

56

14.

Find the sum of radius and height of cylinder which has a total surface area of 8371m2 and radius 35m

a)

38.05m

b)

38.25m

c)

38.125m

d)

38.15m

15.

The area of the square is 121m2. This square is wrapped such that a hollow cylinder is formed. Find the radius of the hollow cylinder formed.

a)

1.75m

b)

1.5m

c)

 2m

d)

2.5m

16.

If we double the radius and half the height of the cylinder what will happen to the curved surface area

a)

No change

b)

doubled

c)

halved

d)

 4 times the original

17.

The cylinder has a radius 6 units and height 12 units, find the ratio of total surface area to curved surface area

a)

3:4

b)

2:3

c)

3:2

d)

4:3

18.

The cylinder has a radius 2.1 m and height 10 m, Find the inner + outer curved surface area of the cylinder.

a)

132m2

b)

264m2

c)

143m2

d)

286m2

19.

The internal radius of the cylinder is 13.3 cm and outer radius is 14 cm. The inner surface area and outer surface area respectively of the cylinder given, the length is 20 cm are?

a)

1760 cm2  and 1672 cm2

b)

1538 cm2  and 1620 cm2

c)

1620 cm2  and 1538 cm2

d)

1672 cm2  and 1760 cm2

20.

The curved surface area of a cylinder is defined by the subtraction between total surface area and areas of circles.

a)

False

b)

True

c)

Not sure

d)

 None of the above

21.

An underground tunnel was built for trains to connect two cities A and B. The total inner surface area of the tunnel is 291600m2 . What is the distance between the two cities if the diameter of the tunnel is 63m?

a)

1477.46m

b)

1464.88m

c)

1469.64m

d)

1472.72m

22.

The curved surface area of a right circular cylinder of height 14 cm is 88 cm2. The diameter of the base is:

a)

2 cm

b)

3 cm

c)

4 cm

d)

6 cm

23.

If we double the radius and half the height of the cylinder what will happen to the curved surface area

a)

4 times the original

b)

doubled

c)

halved

d)

No change

24.

The radii of two cylinders are in the ratio of 2:3 and their heights are in the ratio of 5:3. The ratio of their CSA is:

a)

10: 17

b)

17: 7

c)

10: 9

d)

20: 13

25.

The radius of a cylinder is 5 inches and the height of the cylinder is 15 inches. Find the surface area of the cylinder. (Take the value of pi as 3.14)

a)

620in2

b)

628in2

c)

624in2

d)

626in2