if the radius of a right circular cylinder is doubled and height becomes 1/4 of the original height, then find the ratio of the curved surface areas of the new cylinder to that of the original cylinder
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Original Cylinder
Radius = r
Height = h
Volume = 3.14 * r * r * h
New Cylinder
Radius = r/2
Height = 2h
Volume = 3.14 * r/2 * r/2 * 2h
Therefore,
Required Ratio = New Cylinder : Original Cylinder
= (3.14 * r/2 * r/2 * 2h) : (3.14 * r * r * h)
= (3.14 * r/2 * r/2 * 2h) / (3.14 * r * r * h)
= 1 / 2
= 1 : 2 (ans)
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