Question

Which vessel shown in the below figure can hold more water?

• A. A
• B. B
• C. Same in A and B
• D. Not decided

Answer 1

The Correct Option is B

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 \( V \) of a cylinder is given by:
\[ V = \pi r^2 h \] where \( r \) is the radius and \( h \) is the height of the cylinder.

2. Volume of Vessel A:
Radius = 1 cm, Height = 4 cm
\[ V_A = \pi (1)^2 \cdot 4 = 4\pi \, \text{cm}^3 \]

3. Volume of Vessel B:
Radius = 4 cm, Height = 1 cm
\[ V_B = \pi (4)^2 \cdot 1 = 16\pi \, \text{cm}^3 \]

4. Compare the Volumes:
\[ V_A = 4\pi \quad \text{and} \quad V_B = 16\pi \]
Clearly, \( V_B > V_A \)

Final Answer:
Vessel B can hold more water.