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The radii of the two cylinders of the same height are in the ratio 4:5, then find the ratio of their volumes? |
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Answer» Answer: 16/25 Step-by-step explanation: let , the radius of first CYLINDER as R1 and radius of second cylinder as r2 both cylinder has same height let it be h now take the RATIO of volume of TWO cylinders volume of first cylinder π r1^2 h ---------------------------------------- = ---------------- volume of second cylinder. π r2^2 h volume of first cylinder r1^2 ---------------------------------------- = ----------- volume of second cylinder. r2^2 volume of first cylinder ---------------------------------------- = ( r1/r2)^2 volume of second cylinder. volume of first cylinder ---------------------------------------- = ( 4/5)^2 volume of second cylinder. volume of first cylinder 16 ---------------------------------------- = -------- volume of second cylinder. 25 |
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