Question

The diameter of 2 cylinders r in the ratio 3:4 find the ratio of their height if theirs volume r equal

Answer 1

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

Answer 2

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