Two cylinders of same volunne have their heights in the ratio 1:3, find the ratio of their radius
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Answer:
√3:1
Step-by-step explanation:
Volume of a cylinder is πr²h where r is the radius and h is the height of the cylinder
Since volumes are equal
π(r1)²h1 = π(r2)²h2
h1:h2 = 1:3
Therefore,
(r1)²/(r2)² = h2/h1
= 3/1
r1/r2 = √3/1
= √3:1
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The ratio of the radius of two cylinders is √3:1
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