The diameter of 2 cylinders r in the ratio 3:4 find the ratio of their height if theirs volume r equal
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Answered by
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Let the diameter be 300 and 400
So radius is 150 and 200
Volume=22/7×r^2×h
(22/7×r^2×h1)/(22/7×r^2×h2)
150×150×h1/200×200×h2
225h1/400h2
225h1=400h2
h1/h2=400/225
=16/9
=16:9
So radius is 150 and 200
Volume=22/7×r^2×h
(22/7×r^2×h1)/(22/7×r^2×h2)
150×150×h1/200×200×h2
225h1/400h2
225h1=400h2
h1/h2=400/225
=16/9
=16:9
Answered by
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Answer:4:2.5
Step-by-step explanation:diameter¹:diamter² =3:4
Radius¹:radius²=1.5:2
Volume of cylinder=πr²h
According to the question,
The volumes are equal
V¹=V²
V¹=πr²1h¹
V²=πr²2h²
Now,v¹\v²=πr²1h¹\πr²2h²
=v¹/v²=π×(1.5)²×h¹\π×(2)²×h²
1=2.25\4×h¹\h²
=4\2.25=h¹=h²
Thus,the ratio of their heightis4:2.25
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