Question

*If the ratio of the heights of two cylinders with equal radius is 3: 5, what is the ratio of their volumes?*

1️⃣ 9:25
2️⃣ 25:9
3️⃣ 3:5
4️⃣ 5:3​

Answer 1

Answer:

i dont know the answer please tell me the answer

Answer 2

The required ratio of volumes is 3:5. (Option 3)

Given:

The ratio of the cylinders' heights=3:5

To find:

The ratio of volumes

Solution:

Since the radius of both the cylinders is same, the ratio of their heights is 3:5.

So, let the height of each cylinder be 3H and 5H.

Also, let the radius be R.

Now, the volume of the cylinder=π×$radius^{2}$×height

The volume of one cylinder=π×$R^{2}$×3H

The volume of the other cylinder=π×$R^{2}$×5H

On taking the ratio of both cylinders' volumes,

The required ratio=π×$R^{2}$×3H/π×$R^{2}$×5H

=3H/5H

=3/5

=3:5

Therefore, the required ratio of volumes is 3:5.