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Deepak Bora
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A toy is in the form of a cylinder with hemispherical ends. If the whole length of the toy is 90 cm and its diameter is 42 cm, then find the cost of painting the toy at the rate of 70 paise per sq cm.

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In the given problem a toy is in the form of a cylinder with hemispherical ends for that to find total cost we need to use cylinder and  hemispherical surface area formula. Question number 18 from RS Aggarwal book page number 789, chapter volume and surface area of solid.

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1 Answer

  1. Total height of toy = 90cm.

    Height of cylinder = 90 – (2 * 21)

    = 48cm

    Area of cylinder =2πrh

    = 2 * 22/7 * 21 * 48

    = 6336 cm²

    Area of hemisphere =4 π r²

    = 4 * 22/7 * 21²

    = 5544 cm²

    Total area = 6336 +5544

    = 11880

    = 11880 cm²

    Cost = 11880 * 70

    = 831600 paise

    = 8316 rupees

    ∴ Cost of painting the toy is 8316 rupees

     

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