Curved surface area of a Right Circular cone

Q.

Find the total surface area of a cone, if its slant height is $21\mathrm{m}$ and diameter of its base is $24\mathrm{m}$. (Assume $\mathrm{\pi }=\frac{22}{7}$)

Q. The height of a conical tent is $14m$ and its floor area is $346.5m^2$. The length of canvas, $1.1m$ wide, required for it is:

1. $490m$
2. $665m$
3. $525m$
4. $860m$

Q.

The diameter of the base of a cone is $10.5\mathrm{cm}$ and its slant height is $10\mathrm{cm}$. Find its curved surface area (Assume $\mathrm{\pi }=\frac{22}{7}$)

Q. There are two cones. The curved surface area of one is twice that of the other. The slant height of the latter is twice that of the former. Find the ratio of their radii.

Q. Which of the following have $1$ flat surface and $1$ curved surface ?

1. Prism
2. Pyramid
3. Cone
4. Cylinder

Q. The lateral surface of a cylinder is equal to the curved surface of a cone. If the radius be the same find the ratio of the height of the cylinder and slant height of the cone

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

Q. The diameter of two right circular cones are equal. If their slant heights are in the ratio $3:2$, then what is the ratio of their curved surface areas?

1. $2:3$
2. $\sqrt{3}:\sqrt{2}$
3. $9:4$
4. $3:2$

Q. The curved surface of a circular cylinder of height 'h' and the curved surface area of the cone of slant height 2 'h' having the same circular base are in the ratio of

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

Q. A sphere of radius $4$ cm has the same area as that of a cone with a circular base of radius $4$ cm. The slant height of the cone is

1. $12$ cm
2. $16$ cm
3. $20$ cm
4. $24$ cm