Lateral Surface Area of Cylinder

Q. The diameter of a hollow pipe is 6 cm and it is 14 cm long. What would be the cost of cementing its outer surface if the cost of cementing is ₹ 100 per $c{m}^2$?

1. ₹ 28, 600
2. ₹ 26, 800
3. ₹ 24, 600
4. ₹ 26, 400

Q.

The diameter of a road roller is 60 cm and it is 140 cm long. It levelled an area of $79,200c{m}^2$. How many turns did the road roller take to level the said area?

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

Q.

A metallic prism of height 35 cm has a base as a right angled triangle. The triangle has a base length of 24cm and altitiude 10cm. It is melted and drawn into a cylindrical wire of radius 0.35 cm. What will be the length of wire drawn in metres?

1. 139.1 m

2. 209.1 m

3. 109.099 m

4. 91.11 m

Q.

A log of wood is cylindrical in shape.The radius and height of the log is 1 cm and 6 cm respectively. What area needs to be covered if the log has to be painted completely ?

1. $48c{m}^2$

2. $44c{m}^2$

3. $52c{m}^2$

4. $54c{m}^2$

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. Find the area of the playground in $m^2$?
$[Assume\pi =\frac{22}{7}]$

Q.

If the ratio of radii of two cylinders having the same height is 3 :4. The ratio of their curved surface area is

1. 3 : 4

2. 6 : 8

3. 9 :16

4. 16 : 25

Q.

A solid cylindrical party popper having radius 7 cm and length 20 cm needs to be gift wrapped by a paper sheet. What is the area of sheet required to cover it completely ?

1. $1198{\text{cm}}^2$

2. $1188{\text{cm}}^2$

3. $1248{\text{cm}}^2$

4. $1148{\text{cm}}^2$

Q.

There is a hollow jar of length 28 cm with lid removed from the top and bottom. The radius of this cylindrical hollow jar is 8 cm. If we have to cover the outer surface with paper, then the area of paper that is required will be equal to:

1. $1518{\text{cm}}^2$

2. $1408{\text{cm}}^2$

3. $1498{\text{cm}}^2$

4. $1428{\text{cm}}^2$

Q.

The inner diameter of a well is 2 m and it is 35 m deep. What would be the cost of cementing its inner wall at Rs. 500 per square meter ?

1. Rs. 1, 00, 000

2. Rs. 90, 000

3. Rs. 1, 10, 000

4. Rs. 1, 05, 000

Q.

A rectangular sheet of paper $40cm\times 44cm$ is rolled to form a hollow cylinder of height 40 cm. Find the diameter of the cylinder.

1. 7 cm

2. 10 cm

3. 14 cm

4. 15 cm