A rectangular sheet of tin foil of size 30 cm * 18cm can be rolled to form a cylinder in two ways along length and along breath. find the ratio of the volume of the two cylinder thus form.
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Answer:
width of paper = 18cm
length of paper = 30cm
1st case :- ( rolled along length )
height of the cylinder = 30cm
circumference of the circles at both the ends = 18cm
therefore radius = 18/2π
= 18 × 7/44
= 2.86 cm (approx)
therefore volume of the cylinder = πr²h
= 22/7 × (2.86)² × 30
= 22/7 × 8.18 × 30
= 5398.8/7
= 771.26 cm³ (approx)
2nd case:- ( rolled along width )
height = 18cm
circumference of those circles = 30cm
radius = 30/2π
= 30 × 7/44
= 4.77cm ( approx )
therefore, volume = πr²h
= 22/7 × (4.77)² × 18
= 22/7 × 22.75 × 18
= 9009/7
= 1287cm³
Therefore, the ratio = 771.26:1287 ( If u want u can simply it farther)
Hope It Helped
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