Answer:
The diameters of two cylinders are in the ratio 3:2 and their volumes are equal. the ratio of their heights is Advertisement Expert-Verified Answer 88 people found it helpful Golda Solution :- The ratio of the diameters of the cylinders = 3 : 2 ⇒ The ratio of the radius of the cylinders will be = 3 : 2
Explanation:
Therefore, let the radii of the two cylinder be 3x and 2x respectively.
Let the height of the cylinder be h1 and h2.
Now, Volume of first cylinder = Volume of the second cylinder
i.e. π(3x)²h1 = π(2x)²h2
h1/h2 = (π*4x²)/(π*9x²)
h1/h2 = 4/9
h1 : h2 = 4 :9
So, ratio of their heights is 4 : 9
Answer.