Total Surface Area of a Cylinder

Q.

If the radius and height of a cylinder are increased by $10\%$ and decreased by $5\%$ respectively, then what will be the percentage change in volume? [4 MARKS]

Q.

___ cm is the height of a cylinder whose radius is 14 cm and the total surface area is 2640 sq.cm

Q.

In case of a hollow cylinder, inner curved surface area of a hollow cylinder $=2\mathrm{\pi h}(\mathrm{R}-\mathrm{r})$.

1. True
2. False

Q.

A concrete pillar has a radius of 3.5 cm and a length of 15 cm. The total surface area of the pillar is ______.

1. $417{\text{cm}}^2$

2. $410{\text{cm}}^2$

3. $407{\text{cm}}^2$

4. $414{\text{cm}}^2$

Q.

The ratio of curved surface area of two cylinders having the same height is 5:6. The ratio of their volumes will be equal to

1. 5 : 6

2. 5 : 36

3. 25 : 6

4. 25 : 36

Q. What is the curved surface area of a cylinder if its height and radius are 8 cm and 2 cm respectively?

1. 24π sq cm
2. 32π sq cm
3. 16π sq cm
4. 20π sq cm

Q.

A concrete pillar has a radius of 3.5 cm and a length of 15 cm. The total surface area of the pillar is ______.

1. $417{\text{cm}}^2$

2. $410{\text{cm}}^2$

3. $407{\text{cm}}^2$

4. $414{\text{cm}}^2$

Q.

The pillars of an apartment are made in the cylindrical shape. If each pillar has a circular base of radius 40 cm and height 20 m, then how much concrete would be required to build 7 such pillars?

1. 70.4

2. 704

3. 7.04

4. 7040

Q.

Curved surface area of a cylinder of radius r and height h is:

1. 2πrh + π$r^2$

2. 2πrh + 2π$r^2$

3. πrh

4. 2πrh

Q.

If a rectangular sheet is folded along its length to cover the curved surface of the cylinder with radius R and height H, then find the length and breadth of the rectangular sheet. [2 MARKS]

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

1. $2\pi r^2+4\pi rh$
2. $2\pi r^2+2\pi rh$
3. $2\pi rh$

Q.

The ratio of height to the base radius of a cylinder is 1:2. The ratio of total surface of cylinder to curved surface of cylinder is:

1. 3 : 1

2. 3 : 2

3. 4:3

4. 1: 3

Q.

A concrete pillar has a radius of 3.5 cm and a length of 15 cm. The total surface area of the pillar is ______.

1. $417{\text{cm}}^2$

2. $410{\text{cm}}^2$

3. $407{\text{cm}}^2$

4. $414{\text{cm}}^2$

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.

A right circular cylinder has a radius of 14 cm and height 42 cm with both upper and lower circular areas closed. The total surface area of the cylinder is equal to ____.

1. $4938{\text{cm}}^2$

2. $4928{\text{cm}}^2$

3. $4828{\text{cm}}^2$

4. $4988{\text{cm}}^2$

Q. Find the surface area (in sq. cm.) of a cylindrical container with radius 4 cm and height 10 cm, assuming it has an open top and a closed bottom.

1. $421.6sq.cm.$
2. $251.3sq.cm.$
3. $301.7sq.cm.$
4. $351.9sq.cm.$

Q.

The total surface area of a right circular cylinder of height 13m and radius 7m is 572 sq. meter. State whether the given statement is true or false. (Take pi=$\frac{22}{7})$

1. True

2. False

Q. For a cylinder of radius r and height h and a cuboid of length l, breadth b and height h, match the following.

1. $2(lb+bh+lh)$
2. $2h(b+l)$
3. $2\pi r^2+2\pi rh$
4. $2\pi rh$

Q. A metal pipe is 77 cm long. The inner diameter of a cross-section is 4 cm, the outer diameter being 4.4 cm.

Find its,
(i) Inner curved surface area
(ii) Outer curved surface area
(iii) Total surface area. $[Assume\pi =\frac{22}{7}]$

Q. The circumference of the base of a cylinder is $12m$ and its height is $77m.$ The volume of the cylinder is

1. $882m^3$
2. $782m^3$
3. $641m^3$
4. $441m^3$

Q. The volume of a cylinder of height 4 cm and total surface area 484 $c{m}^2$ is

1. 612 $c{m}^3$
2. 610 $c{m}^3$
3. 616 $c{m}^3$
4. 620 $c{m}^3$

Q. The ratio of the curved surface area to the total surface area of a right circular cylinder is 1 : 2. The ratio of the height to the radius of the cylinder is _____.

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

Q. A metal pipe is 77 cm long. The inner diameter of a cross-section is 4 cm, the outer diameter being 4.4 cm.

Find its,
(i) Inner curved surface area
(ii) Outer curved surface area
(iii) Total surface area. $[Assume\pi =\frac{22}{7}]$

Q. Find the surface area (in sq. cm.) of a cylindrical container with radius 4 cm and height 10 cm, assuming it has an open top and a closed bottom.

1. $301.7sq.cm.$
2. $351.9sq.cm.$
3. $251.3sq.cm.$
4. $421.6sq.cm.$

Q. The ratio of the curved surface area to the total surface area of a right circular cylinder is 1 : 2. The ratio of the height to the radius of the cylinder is _____.

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