Volume Of Cube Cuboid And Cylinder

To solve the problem, we need to find the ratio of volumes of two cylinders given their radii and heights.

1. Formula for Volume of a Cylinder:
The volume of a cylinder is given by:

Where is the radius and is the height.

2. Given:
- Ratio of radii =
- Ratio of heights =

3. Let the radii and heights be:
- ,
- ,

4. Calculating Volumes:

5. Finding the Ratio:

Final Answer:
The ratio of the volumes is .

To solve the problem, we need to compare the volumes of the two cylindrical vessels A and B to determine which one can hold more water.

1. Formula for Volume of a Cylinder:
The volume of a cylinder is given by:
where is the radius and is the height of the cylinder.

2. Volume of Vessel A:
Radius = 1 cm, Height = 4 cm

3. Volume of Vessel B:
Radius = 4 cm, Height = 1 cm

4. Compare the Volumes:

Clearly,

Final Answer:
Vessel B can hold more water.