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.

Deepak BoraNewbie

# 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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This answer was edited.Given Height of the cylinder, h = 7 cmVolume of the cylinder, V = 448π cm^{3}πr^{2}h = 448πr^{2}×7 = 448r^{2}= 448/7 = 64r = 8Lateral surface area = 2πrh= 2×22/7×8×7= 352 cm^{2}Total surface area = 2πr(r+h)= 2×22/7×8×(8+7)= 2×22/7×8×15= 5280/7cm^{2}Hence the lateral surface area and the total surface area of the cylinder are 352 cm^{2}and 754.28 cm^{2}.I hope this solutions will be helpful!!!!!