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Deepak Bora
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If the volume of a cylinder of height 7 cm is 448 pi cm cube, find its lateral surface area and total surface area.

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ICSE Board Question Based on Mensuration Chapter of M.L Aggarwal for class10
In this question volume and height of the cylinder is given.
You have to find its lateral surface area and total surface area.
This is the Question Number 07, Exercise 17.1 of M.L Aggarwal.

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  1. This answer was edited.

    Given Height of the cylinder, h = 7 cm

    Volume of the cylinder, V = 448π cm3

    πr2h = 448π

    r2×7 = 448

    r2 = 448/7 = 64

    r = 8

    Lateral surface area = 2πrh

    = 2×22/7×8×7

    = 352 cm2

    Total surface area = 2πr(r+h)

    = 2×22/7×8×(8+7)

    = 2×22/7×8×15

    = 5280/7cm2

    Hence the lateral surface area and the total surface area of the cylinder are 352 cm2 and 754.28 cm2.

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