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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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.
I hope this solutions will be helpful!!!!!