This question is Based on Mensuration Chapter of M.L Aggarwal book for ICSE BOARD for class 10.
This figure is of a rectangular tin foil with its given size and it is wrapped around to form a cylinder with given height. So, find the volume of the cylinder.
This is the Question Number 04, Exercise 17.1 of M.L Aggarwal.
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In the given figure, a rectangular tin foil of size 22 cm by 16 cm is wrapped around to form a cylinder of height 16 cm. Find the volume of the cylinder.
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Given height of the cylinder, h = 16 cm
When rectangular foil of length 22 cm is folded to form cylinder, the base circumference of the cylinder is 22cm
2πr = 22
r = 22 × 7/22 × 2
= 3.5 cm
Volume of the cylinder, V = πr2h
= (22/7)×3.52×16
= 616 cm3
Hence the volume of the cylinder is 616 cm3.
Given height of the cylinder, h = 16 cm
When rectangular foil of length 22 cm is folded to form cylinder, the base circumference of the cylinder is 22cm
2πr = 22
r = 22×7/22×2
= 3.5 cm
Volume of the cylinder, V = πr2h
= (22/7)×3.52×16
= 616 cm3
Hence the volume of the cylinder is 616 cm3.