Introduction to Cylinder and its Total and Curved Surface Area

Q.

A solid cylinder of radius$r$and height $h$ is placed over other cylinder of same height and radius. The total surface area of the shape so formed is $4\mathrm{\pi rh}+4{\mathrm{\pi r}}^2$.

1. True
2. False

Q.

A cylinder has a surface area of $1850$ square meters and a radius of $9$ meters. Estimate the volume of the cylinder to the nearest whole number.

Q. Various coins when piled up together would form which shape?

1. Cylinder
2. Rectangle
3. A larger and bigger coin
4. Circle

Q. A cylinder has:

1. a circular base and two curved surfaces
2. two parallel circular bases and a curved surface.
3. a circular base and a curved surface
4. none of the above

Q. A cylinder is a 3D shape consisiting of two circles and one rectangle.

1. True
2. False

Q. If the radius and the height of a cylinder are 2 cm and 3 cm respectively, then its total surface area is:

1. $20\pi {\text{cm}}^2$
2. $16\pi {\text{cm}}^2$
3. $12\pi {\text{cm}}^2$
4. $6\pi {\text{cm}}^2$

Q.

Curved surface area of a right circular cylinder is $4.4m^2$. If the radius of the base of the cylinder is $0.7m$, find its height. (Assume $\mathrm{\pi }=\frac{22}{7}$)

Q. If we unfold a cylinder, then we obtain two circles and one rectangle. The length of the rectangle would be equal to
of the circle.

1. Radius
2. Area
3. Circumference

Q. The base of a cold drink can have an area of $25\pi {\text{cm}}^2$ and it has a height of $10\text{cm.}$ What is the curved surface area of the cold drink can?

1. $50\pi {\text{cm}}^2$
2. $10\pi {\text{cm}}^2$
3. $200\pi {\text{cm}}^2$
4. $100\pi {\text{cm}}^2$

Q. A cylinder has a circular base with a diameter of 14 cm and a height of 20 cm. What is its curved surface area and total surface area?

1. Total Surface Area $=280\pi c{m}^2$
   Curved Surface Area $=329\pi c{m}^2$
2. Total Surface Area $=378\pi c{m}^2$
   Curved Surface Area $=329\pi c{m}^2$
3. Total Surface Area $=378\pi c{m}^2$
   Curved Surface Area $=280\pi c{m}^2$
4. Total Surface Area $=378\pi c{m}^2$
   Curved Surface Area $=210\pi c{m}^2$

Q. Match the following areas and volume for a cylinder of heigth '$h$' and radius '$r$'.

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

Q.

If the curved surface area of a cylinder is $1760c{m}^2$ and its base radius is $14cm$, then its height is:

1. $10cm$

2. $20cm$

3. $15cm$

4. $40cm$

Q. A water tank can hold $2\pi {\text{m}}^3$ of water. If the radius of the tank is $1\text{m},$ then:

1. height of the tank is $1\text{m}$
2. height of the tank is $2\text{m}$
3. curved surface area of the tank is $6\pi {\text{m}}^2$
4. curved surface area of the tank is $4\pi {\text{m}}^2$