1. The circular cylinder of equal volume have their heights in the ratio 1:2 , find the ratio of their radii
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let's the volume of first cylinder=v
then volume of second is also=v(according to question)
height of first cylinder: height of second cylinder=1:2
radii of both=?
volume of first cylinder=πr1²h1
=π× r1²× 1------(1)eqⁿ
volume of second cylinder=πr2²h2
=π×r2²×2-------(2)eqⁿ
on dividing both equation
we get,
v1/v2=π r1² ×1/π r2²×2
1/1= r1²/r2²×2
r1²/r2²= 2/1
r1/r2=√2/1
r1=√2=1.414
r2=1
then volume of second is also=v(according to question)
height of first cylinder: height of second cylinder=1:2
radii of both=?
volume of first cylinder=πr1²h1
=π× r1²× 1------(1)eqⁿ
volume of second cylinder=πr2²h2
=π×r2²×2-------(2)eqⁿ
on dividing both equation
we get,
v1/v2=π r1² ×1/π r2²×2
1/1= r1²/r2²×2
r1²/r2²= 2/1
r1/r2=√2/1
r1=√2=1.414
r2=1
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