A vessel is in the form of hemispherical bowl mounted by a hollow cylinder. If the height of cylinder is 6cm and radius is 7 cm .Find the total height of the vessel.

Answer

To find the total height of the vessel, which consists of a hemispherical bowl mounted on a hollow cylinder, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the dimensions given in the problem:**
- Height of the cylinder (h) = 6 cm
- Radius of the cylinder (r) = 7 cm

2. **Understand the structure of the vessel:**
- The vessel is composed of a hemispherical bowl on top of a hollow cylinder.
- The radius of the hemispherical bowl is the same as the radius of the cylinder, which is 7 cm.

3. **Calculate the height of the hemispherical bowl:**
- The height of a hemisphere is equal to its radius. Therefore, the height of the hemispherical bowl = radius = 7 cm.

4. **Calculate the total height of the vessel:**
- Total height of the vessel = Height of the cylinder + Height of the hemispherical bowl
- Total height = 6 cm (height of the cylinder) + 7 cm (height of the hemispherical bowl)
- Total height = 13 cm

5. **State the final answer:**
- The total height of the vessel is 13 cm.

### Final Answer:
The total height of the vessel is **13 cm**.

---