Total Surface Area of Cylinder

Q.

The total surface area of a cylinder of radius 'r' and height 'h' is _____.

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

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.

Question 37

The curved surface area of a cylinder which exactly fits in a cube of side b is ___

Q.

A log of wood is cylindrical in shape. The radius and height of the log is 2 cm and 12 cm respectively. What area needs to be covered if the log has to be painted completely?

1. $52c{m}^2$
2. $176c{m}^2$
3. $120c{m}^2$
4. $136c{m}^2$

Q.

Describe how the two figures below are alike and how they are different. Which box has larger lateral surface areas?

Q.

A cylindrical rod of height 10 m and radius 7m is melted into 7 identical cylindrical pistons of radius 14m and height $\frac{5}{14}$m

Then,

(1) The volume of the cylindrical rod is equal to the sum of the volume of all 7 pistons .

(2) The total surface area of the cylindrical rod is equal to the sum of total surface area of the cylindrical piston.

1. Only I is correct

2. Only II is correct

3. None of these

4. Both I and II are correct

Q. For the cylinder below,

Lateral Surface Area(LSA)=
Total Surface Area(TSA)=

1. $2\pi r(r+h)$
2. $2\pi rh$
3. $\pi r^{2}h$
4. $2(\pi r+h)$

Q.

The total surface area of a cylinder = $2\pi rh+\pi r^2$.

1. True

2. False

Q.

A big iron boiler tank which is open on the top is cylindrical in shape. Its height is 10 m and radius is 7 m. It gets corroded at a rate of 3 sq. meter/day. The number of days in which it totally gets corroded is (Take pi=$\frac{22}{7}$)

1. 198

2. 208

3. 192

4. 202

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 total surface area of a cylinder of radius 'r' and height 'h' is _____.

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

Q.

A metal sheet 27 cm long, 8 cm broad and 1 cm thick is melted into a cube. The difference between total surface area of the two solids is ______ cm².

1. 280 cm²

2. 296 cm²

3. 284 cm²

4. 286 cm²

Q. Each side of a cube is increased by 50%. Then the surface area of the cube is increased by:

1. 50%
2. 100%
3. 150%
4. 125%

Q. Mary is wrapping a can of paint to gift it to a friend. If the can is 11 inches high and has a diameter of 7 inches then how many square inches of wrapping paper will be used? (take π = 3.14)

1. 319 square inches
2. 241 square inches
3. 391 square inches
4. 421 square inches

Q.

The only circular part in a cylinder is its base.

1. True

2. False

Q. In the following figure, if the dimensions of the trapezoid are as shown and the area of the trapezoid is $144$, what is the value of $x$?

1. $2$
2. $3$
3. $4$
4. $6$
5. $8$

Q. Three cubes whose edges are 3 cm, 4 cm and 5 cm respectively are melted to form a single cube. Find the surface area of the new cube.

1. $210c{m}^2$
2. $224c{m}^2$
3. $216c{m}^2$
4. $213c{m}^2$