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Deepak Bora
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A right triangle with sides 6 cm, 8 cm and 10 cm is revolved about the side 8 cm. Find the volume and the curved surface of the cone so formed. (Take pi = 3.14)

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M.L Aggarwal book Important Question of class 10 chapter Based on Mensuration for ICSE BOARD.
A right triangle with sides given is revolved about a side .
Find the volume and the curved surface of the cone so formed
This is the Question Number 17, Exercise 17.2 of M.L Aggarwal.

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1 Answer

  1. ML Aggarwal Sol Class 10 Maths chapter 17-3

    The triangle is rotated about the side 8cm.

    ML Aggarwal Sol Class 10 Maths chapter 17-4

    So the height of the resulting cone, h = 8 cm

    Radius, r = 6 cm

    Slant height, l = 10 cm

    Volume of the cone, V = (1/3)r2h

    V = (1/3)×3.14×62×8

    V = (1/3)×3.14×36×8

    V = 3.14×12×8

    V = 301.44 cm3

    Hence the volume of the cone is 301.44 cm3.

    Curved surface area of the cone = rl

    = 3.14×6×10

    = 188.4

    Hence the curved surface area of the cone is 188.4 cm2.

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