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Deepak Bora
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Curved surface area of a cone is 308 cm square and its slant height is 14 cm. Find , (i)radius of the base (ii)total surface area of the cone.

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M.L Aggarwal book Important Question of class 10 chapter Based on Mensuration for ICSE BOARD.
You have to find the slope and y-intercept for the following lines that are given in this question.
This is the Question Number 04, Exercise 17.2 of M.L Aggarwal.

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  1. (i) Given curved surface area of the cone = 308 cm2

    Slant height of the cone, l = 14 cm

    rl = 308

    (22/7)×r×14 = 308

    r = 308×7/(22×14)

    = 7

    Hence the radius of the cone is 7 cm.

    (ii)Total surface area of the cone = Base area + curved surface area

    = r2rl

    = (22/7)×72 +308

    = (22/7)×49 +308

    = 154+308

    = 462

    Hence the total surface area of the cone is 462 cm2.

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