Question 2 The height of a cone is 8 cm and the diameter of the base is 12 cm. find slant height ​

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Question 2
The height of a cone is 8 cm and the diameter of the base is 12 cm. find slant height

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Amara 1 month 2021-08-20T17:57:24+00:00 2 Answers 0 views 0

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    2021-08-20T17:59:08+00:00

    Answer:

    Answer is

    Step-by-step explanation:

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    0
    2021-08-20T17:59:09+00:00

    Step-by-step explanation:

    Perimeter of the base (= 2π r) = 12 π cm

    Therefore, radius r, of the base of the cone = 6 cm

    Vertical height h of the cone = 8 cm

    Slant height of the cone is the hypotenuse of a right triangle, whose two other sides are vertical height h of the cone, and radius r of the base. From Pythagoras theorem

    r² + h² = (slant height)²; ==> 6² +8²= (slant height)²;

    ==> Slant height² = 36 + 64 = 100 cm²

    Therefore,

    Slant height = 10 cm.

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