Curved surface area of a Right Circular cone

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 $m^2$.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 $m^2$.Find the volume of the tent that can be made with it.

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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.

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

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The radius and slant height of a cone are in the ratio of 4:7.If its curved surface area is $792c{m}^2$, find its radius.(Use $\pi =\frac{22}{7})$

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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.

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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.

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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 $m^2$ 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.

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The curved surface area of a cone is 4070 $c{m}^2$ and its diameter is 70 cm.What is the slant height ?(Use $\pi =\frac{22}{7}$).

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The slant height and base diameter of a conical tomb are $25m$ and $14m$ respectively. Find the cost of white-washing its curved surface at the rate of $Rs.210$ per $100m^2$.

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 $10m$ high conical tent is $44metres.$ Calculate the length of canvas used in making the tent if width of canvas is $2m.$ (Use $\pi =\frac{22}{7}$).

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)

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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.

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A conical pit of top diameter $3.5m$ is $12m$ deep. What is its capacity in kilolitres?
$[Assume\pi =\frac{22}{7}]$

Q.

The radius of a cone is 7 cm and area of curved surface is 176 $c{m}^2$.Find the slant height.

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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 $\pi =\frac{22}{7})$

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

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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 ?

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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 $m^2.$

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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 m² is

1. Rs 11000

2. Rs 9000

3. Rs 12000

4. Rs 10000

Q.

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

1. 1032 cm²

2. 832 cm²

3. 1232 cm²

4. 1262 cm²

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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?$(Use\pi =\mathrm{3.14.})$

Q.

Choose the correct answer in each of the following :

The volume of a right circular cone of height 24 cm is 1232 $c{m}^3$. Its curved surface area is

$\left(a\right)1254c{m}^2\left(b\right)704c{m}^2\left(c\right)550c{m}^2\left(d\right)462c{m}^2$

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A cone of radius 3 cm and slant height 5 cm has curved surface area of ___ $c{m}^2$.

1. 13$\pi$

2. 14$\pi$

3. 15$\pi$

4. 16$\pi$

Q.

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

1. 112.5 cm²

2. 84 cm²

3. 154 cm²

4. 77 cm²

Q.

The area of the curved surface of a cone is 60 $\pi c{m}^2$.If the slant height of the cone be 8 cm, find the radius of the base.