Question

two right circular cylinder of equal volume have their radii in the ratio square root 2:1 find the ratio of their heights
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Answer 1

Answer:

1:√2

Step-by-step explanation:

We are given that Two circular cylinders of equal volumes have their heights in the ratio 1:2. Hence the ratio of their radii is 1:√2 

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Answer 2

Let the height be h and 2h and redii be r and R

∴πr2h=πR22h

⇒r2h=R22h

⇒R2r2=h2h

⇒R2r2=12

⇒Rr=12

⇒r:R=2:1