# Curved surface area of a Right Circular cone

## Trending Questions

**Q.**

The radius of a cone is 5 cm and vertical height is 12 cm.Find the area of the curved surface.

**Q.**

Monica has a piece of canvas whose area is 551 m2.She uses it to have a conical tent made, with a base radius of 7 m.Assuming that all the stitching margins and wastage incurred while cutting, amounts to approximately 1 m2.Find the volume of the tent that can be made with it.

**Q.**

A Joker's cap is in the form of a right circular cone of base radius 7 cm and height 24 cm.Find the area of the sheet required to make 10 such caps.

**Q.**

How many square meters of the canvas is required for a conical tent whose height is 3.5 m and the radius of the base is 12 m?

**Q.**

The radius and slant height of a cone are in the ratio of 4:7.If its curved surface area is 792 cm2, find its radius.(Use π=227)

**Q.**

A circus tent is cylindrical to a height of 3 meters and conical above it.If its diameter is 105 m and the slant height of the conical portion is 53 m, calculate the length of the canvas 5 m wide to make the required tent.

**Q.**How many meters of 5metre will be required to make a conical tent the radius of whose base is 7 metre and height 24 metre what is the cost required to make the tent of 1metre square cloth cost rupees 50.

**Q.**

A tent is in the form of a right circular cylinder surmounted by a cone.The diameter of cylinder is 24 m.The height of the cylindrical portion is 11 m while the vertex of the cone is 16 m above the ground.Find the area of the canvas required for the tent.

**Q.**

A conical tent is 10 m high and the radius of its base is 24 m.Find the slant height of the tent.If the cost of 1 m2 canvas is Rs.70, find the cost of the canvas required to make the tent.

**Q.**

Find the area of canvas required for a conical tent of height 24 m and base radius 7 m.

**Q.**

The curved surface area of a cone is 4070 cm2 and its diameter is 70 cm.What is the slant height ?(Use π=227).

**Q.**

The slant height and base diameter of a conical tomb are 25 m and 14 m respectively. Find the cost of white-washing its curved surface at the rate of Rs. 210 per 100 m2.

**Q.**Find the volume of a cone, if its total surface area is 7128 sq.cm and radius of base is 28 cm.$\left(\mathrm{\pi}=\frac{22}{7}\right)$

**Q.**

The circumference of the base of a 10 m high conical tent is 44 metres. Calculate the length of canvas used in making the tent if width of canvas is 2 m. (Use π=227).

**Q.**What length of canvas 3 m wide will be required to make a conical tent of height 8 m and radius of base 6 m? (use π = 3.14)

**Q.**

Find the ratio of the curved surface areas of two cones if their diameters of the bases are equal and slant heights are in the ratio 4:3.

**Q.**

A conical pit of top diameter 3.5 m is 12 m deep. What is its capacity in kilolitres?

[Assume π=227]

**Q.**

The radius of a cone is 7 cm and area of curved surface is 176 cm2.Find the slant height.

**Q.**

The circumference of the base of a 10 m height conical tent is 44 meters.Calculate the length of canvas used in making the tent if width of canvas is 2 m.(Use π=227)

**Q.**

Find the curved surface area of a cone, if its slant height is 60 cm and the radius of its base is 21 cm.

**Q.**

How many metres of cloth, 2.5 m wide, will required to make a conical tent whose base radius is 7 and height 24 m ?

**Q.**

The slant height and base diameter of a conical tomb are 25m and 14m respectively. Find the cost of whitewashing its curved surface at the rate of Rs.12 per m2.

**Q.**

A joker's cap is n the form of a right circular cone of base radius 7 cm and height 24cm . Find the area of the sheet required to make 10 such caps.

**Q.**

A conical tent is 15 m high and the radius of its base is 20 m. The cost of the canvas required to make the tent at the rate of Rs 7 per m^{2} is

Rs 11000

Rs 9000

Rs 12000

Rs 10000

**Q.**

The curved surface area of a hemisphere of diameter 28 cm is

1032 cm

^{2}832 cm

^{2}1232 cm

^{2}1262 cm

^{2}

**Q.**

A heap of wheat is in the form of cone of diameter 9 m and height 3.5 m . Find volume.How much canvas cloth is required to just cover the heap?(Use π =3.14.)

**Q.**

Choose the correct answer in each of the following :

The volume of a right circular cone of height 24 cm is 1232 cm3. Its curved surface area is

(a) 1254 cm2 (b) 704 cm2 (c) 550 cm2 (d) 462 cm2

**Q.**

A cone of radius 3 cm and slant height 5 cm has curved surface area of ___ cm2.

13π

14π

15π

16π

**Q.**

If the radius of a hemisphere is 3.5 cm, its curved surface area is

112.5 cm

^{2}84 cm

^{2}154 cm

^{2}77 cm

^{2}

**Q.**

The area of the curved surface of a cone is 60 π cm2.If the slant height of the cone be 8 cm, find the radius of the base.