A spherical glass vessel has a cylindrical neck 8 cm long, 2 cm in diameter; the diameter of the spherical part is 8.5 cm. By measuring the amount of water it holds, a child finds its volume to be `345 cm^3` . Check whether she is correct, taking the above as the inside measurements, and π = 3.14

Explanation

To find the volume of the spherical glass vessel with a cylindrical neck and check if the child's measurement of 345 cm³ is correct, we will calculate the volume of both the cylindrical neck and the spherical part.

### Step-by-Step Solution:

1. **Identify the dimensions:**
- Height of the cylindrical neck (H) = 8 cm
- Diameter of the cylindrical neck = 2 cm
- Radius of the cylindrical neck (R₁) = Diameter / 2 = 2 cm / 2 = 1 cm
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