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If the lateral surface of a cylinder is 94.2cm2 and its height is 5cm, then find (i) radius of its base (ii) its volume.[Use π= 3.14] Q.4

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What is the simplest way for solving the question of class 9th of exercise 13.6  of math of question no.4 give me the best and simple way for solving this question in simple way  of Surface areas and Volumes chapter If the lateral surface of a cylinder is 94.2cm2 and its height is 5cm, then find (i) radius of its base (ii) its volume.[Use π= 3.14]

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  1. CSA of cylinder = 94.2 cm2

    Height of cylinder, h = 5cm

    (i) Let radius of cylinder be r.

    Using CSA of cylinder, we get

    2πrh = 94.2

    2×3.14×r×5 = 94.2

    r = 3

    radius is 3 cm

    (ii) Volume of cylinder

    Formula for volume of cylinder = πr2h

    Now, πr2h = (3.14×(3)2×5) (using value of r from (i))

    = 141.3

    Volume is 141.3 cm3

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