Question

diameter of two cylinder are in the ratio of 2 ratio 3 find the ratio of their height and their volumeis same​

Answer 1

Answer:

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Step-by-step explanation:

Solution :-

The ratio of the diameters of the cylinders = 3 : 2

⇒ The ratio of the radius of the cylinders will be = 3 : 2

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.

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Answer 2

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Solution :-

The ratio of the diameters of the cylinders = 3 : 2

⇒ The ratio of the radius of the cylinders will be = 3 : 2

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.

Read more on Brainly.in - https://brainly.in/question/1341824#readmore