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A wooden toy rocket is in the shape of a...

A wooden toy rocket is in the shape of a cone mounted on a cylinder. The height of the entire rocket is 26 cm, while the height of the conical part is 6 cm. The base of the conical portion has a diameter of 5 cm, while the base diameter of the cy

Text Solution

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The correct Answer is:
195.465 `cm^(2)`
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A wooden toy rocket is in the shape of a cone mounted on a cylinder, as shown in figure. The height of the entire rocket is 26 cm, while the height of the conical part is 6 cm. The base of the conical partition has a diameter of 5 cm, while the base diameter of the cylindrical protion is 3 cm.Find the slant height of conical portion.

A wooden toy rocket is in the shape of a cone mounted on a cylinder as shown in Fig. 16.36. The height of the entire rocket is 26 cm, while the height of the conical part is 6 cm. The base of the conical portion has a diameter of 5 cm, while the base diameter of the cylindrical portion is 3 cm. If the conical portion is to be painted orange and the cylindrical portion yellow, find the area of the rocket painted with each of these colours. (Take pi=3. 14 )

Knowledge Check

  • A solid wooden toy is in the shape of a right circular cone mounted on a hemisphere. If the radius of the hemisphere is 4.2 cm and the total height of the toy is 10.2 cm, find the volume of the wooden toy (nearly).

    A
    `104 cm^(3)`
    B
    `162 cm^(3)`
    C
    `427 cm^(3)`
    D
    `266 cm^(3)`

  • In a toys manufacturing company, wooden parts are assembled and painted to prepare a toy. One specific toy is in the shape of a cone mounted on a cylinder. For the wood processing activity center, the wood is taken out of storage to be sawed, after which it undergoes rough polishing, then is cut, drilled and has holes punched in it. It is then fine polished using sandpaper. For the retail packaging and delivery activity center, the polished wood sub-parts are assembled together, then decorated using paint. The total height of the toy is 26 cm and the height of its conical part is 6 cm. The diameters of the base of the conical part is 5 cm and that of the cylindrical part is 4 cm. The volume of the wood used in making this toy, is

    A
    `92.5 pi` sq cm
    B
    `89.5 pi` sq cm
    C
    `85.5 pi ` sq cm
    D
    `72.5 pi` sq cm

  • In a toys manufacturing company, wooden parts are assembled and painted to prepare a toy. One specific toy is in the shape of a cone mounted on a cylinder. For the wood processing activity center, the wood is taken out of storage to be sawed, after which it undergoes rough polishing, then is cut, drilled and has holes punched in it. It is then fine polished using sandpaper. For the retail packaging and delivery activity center, the polished wood sub-parts are assembled together, then decorated using paint. The total height of the toy is 26 cm and the height of its conical part is 6 cm. The diameters of the base of the conical part is 5 cm and that of the cylindrical part is 4 cm. If its cylindrical part is to be painted yellow, the surface area need to be painted is

    A
    `80 pi` sq cm
    B
    `82 pi` sq cm
    C
    `84 pi` sq cm
    D
    `88pi` sq cm

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    A wooden toy rocket is in the shape of a cone mounted on a cylinder, as shown in figure. The height of the entire rocket is 26 cm, while the height of the conical part is 6 cm. The base of the conical partition has a diameter of 5 cm, while the base diameter of the cylindrical protion is 3 cm. If the conical portion is to be painted orange, find the area to be painted orange. Find the area of the rockeeet peainted with each of these colours? (Take pi = 3.14)

    A wooden toy is in the shape of a cone mounted on a cylinder as shown alongside If the height of the cone is 24 cm the total height of the toy is 60 cm and the radius of the base of the cone= twice the radius of the base of the cylinder = 10 cm .Find the total surface area of the you.

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