Introduction to Cone and its Curved Surface Area and Total Surface Area

Q. What shape would be obtained when we rotate a right-angled triangle about its perpendicular leg?

1. Cone
2. Cylinder
3. Circle

Q. The curved surface area of a cone is $154{\text{cm}}^2$ and its slant height is 7 cm. Find the diameter of the cone. (Take $\pi =\frac{22}{7}$)

1. 14 cm
2. 7 cm
3. 21 cm
4. 28 cm

Q. Determine the curved surface area of a cone of diameter 12 cm and depth of 8 cm.

1. $60\pi c{m}^2$
2. $50\pi c{m}^2$
3. $40\pi c{m}^2$
4. $30\pi c{m}^2$

Q. Which of the following is true regarding properties of cone?

1. It is a three-dimesnional shape.
2. It has two circular base
3. It has one circular base
4. It has one vertex

Q.

Write the definition and give an example of each vocabulary term.

cone

Q. Determine the total surface area of a cone of diameter 6 cm and depth of 5 cm.

1. $3\sqrt{34}\pi +9\pi {\text{cm}}^2$
2. $1.5\sqrt{34}\pi +9\pi {\text{cm}}^2$
3. $6\sqrt{34}\pi +9\pi {\text{cm}}^2$
4. $3\sqrt{34}\pi {\text{cm}}^2$

Q. Match the following areas to their respective values for the shape given below:

1. TSA
2. CSA
3. Slant height
4. $\pi rL$
5. $\pi r(L+r)$
   
6. L

Q. A toy is in the form of a cone of radius 2 cm mounted on another inverted cone of same radius and same depth. Find the TSA of the toy if the height of cone is 4 cm.

1. $4\pi \sqrt{5}c{m}^2$
2. $8\pi \sqrt{5}c{m}^2$
3. $2\pi \sqrt{5}c{m}^2$
4. $4\pi \sqrt{10}c{m}^2$