Two cylinder are same in volume their height are in ratio 1;2 find the ratio between their diameter
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Let height and radius of first cylinder be h₁ and r₁ respectively.
Let height and radius of second cylinder be h₂ and r₂ respectively.
Volume of first cylinder is πr₁²h₁
Volume of first cylinder is πr₂²h₂
It is given that the volume of both cylinders are the same
πr₁²h₁=πr₂²h₂
πr₁²x=πr₂²2x
r₁/r₂=1/√2
2r₁/2r₂=2/2√2
d₁/d₂=1/√√2
Let height and radius of second cylinder be h₂ and r₂ respectively.
Volume of first cylinder is πr₁²h₁
Volume of first cylinder is πr₂²h₂
It is given that the volume of both cylinders are the same
πr₁²h₁=πr₂²h₂
πr₁²x=πr₂²2x
r₁/r₂=1/√2
2r₁/2r₂=2/2√2
d₁/d₂=1/√√2
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