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Savitri had to make a model of a cylindr...

Savitri had to make a model of a cylindrical kaleidoscope for her science project. She wanted to use chart paper to make the curved surface of the kaleidoscope. What would be the area of chart paper required by her, if she wanted to make a kaleidoscope of length 25 cm with a 3.5 cm radius? You may take `pi=22/7`.

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Sameera wants to celebrate the fifth birthday of her daughter with a party. She bought thick paper to make the conical party caps. Each cap is to have a base diameter of 10 cm and height 12 cm. A sheet of the paper is 25 cm by 40 cm, and approximately 82% of the sheet can be effectively used for making the caps after cutting. What is the minimum number of sheets of paper that Sameera would need to buy, if there are to be 15 children at the party ?

An open metal bucket is in the shape of a frustum of a cone, mounted on a hollow cylindrical base made of the same metallic sheet (see Fig. 13.23). The diameters of die two circular ends of the bucket are 45 cm and 25 cm, the total vertical height of the bucket is 40 cm and that of the cylindrical base is 6 cm. Find the area of the metallic sheet used to make the bucket, where we do not take into account the handle of the bucket. Also, Find the volume of water the bucket can hold. (Take pi=22/7 ).

Mary wants to decorate her Christmas tree. She wants to place the tree on a wooden box covered with coloured paper with picture of Santa Claus on it (see Fig. 13.4). She must know the exact quantity of paper to buy for this purpose. If the box has length, breadth and height as 80 cm, 40 cm and 20 cm respectively how many square sheets of paper of side 40 cm would she require?

Parveen wanted to make a temporary shelter for her car, by making a box-like structure with tarpaulin that covers all the four sides and the top of the car (with the front face as a flap which can be rolled up). Assuming that the stitching margins are very small, and therefore negligible, how much, tarpaulin would be required to make the shelter of height 2.5 m. with base dimensions 4 m x 3 m ?

The students of a Vidyalaya were asked to participate in a competition for making and decorating penholders in the shape of a cylinder with a base, using cardboard. Each penholder was to be of radius 3 cm and height 10.5 cm. The Vidyalaya was to supply the competitors with cardboard. If there were 35 competitors, how much cardboard was required to be bought for the competition?Assume pi = 22/7 , unless stated otherwise.

A hemispherical bowl is made of steel 0.25 cm thick. The inner radius of the bowl is 5 cm. Find the volume of steel used in making the bowl. [ Take pi = 3.14]

What length of tarpaulin 3 m wide will be required to make conical tent of height 8 m and base radius 6m? Assume that the extra length of material that will be required for stitching margins and wastage in cutting is approximately 20 cm (use pi = 3.14).

PSEB-SURFACE AREAS AND VOLUMES-EXAMPLE
  1. Mary wants to decorate her Christmas tree. She wants to place the tree...

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  2. Hameed has built a cubical water tank with lid for his house, with eac...

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  3. Savitri had to make a model of a cylindrical kaleidoscope for her scie...

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  4. The curved surface area of a right circular cone of slant height 10 cm...

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  5. The height of a cone is 16 cm and its base radius is 12 cm. Find the c...

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  6. A corn cob (see Fig. 13.17), shaped somewhat like a cone, has the radi...

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  7. Find the surface area of a sphere of radius 7 cm.

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  8. The surface area of a sphere is 5544 cm^2. Find its diameter.

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  9. The hollow sphere, in which the circus motorcyclist performs his stunt...

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  10. A hemispherical dome of a building needs to be painted (see Fig. 13.21...

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  11. A wall of length 10 m was to be built across an open ground. The heigh...

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  12. A child playing with building blocks, which are of the shape of cubes,...

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  13. The pillars of a temple are cylindrically shaped (see Fig. 13.26). If ...

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  14. At a Ramzan Mela, a stall keeper in one of the food stalls has a large...

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  15. The height and the slant height of a cone are 21 cm and 28 cm respecti...

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  16. Monica has a piece of canvas whose area is 551 m^2 . She uses it to ha...

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  17. Find the volume of a sphere of radius 11.2 cm.

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  18. A shot-putt is a metallic sphere of radius 4.9 cm. If the density of t...

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  19. A hemispherical bowl has a radius of 3.5 cm. What would be the volume ...

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