Secondary School Mathematics for
I in the blanks
A vessel is in the form of a hemispherical
bowl mounted by a hollow cylinder. If each
of the diameter and height of the vessel is 2R
then the inner surface area of the vessel is
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Given that
- A vessel is in the form of hemispherical bowl mounted by a hollow cylinder.
- Diameter of cylinder = Diameter of hemisphere = 2R
- Height of the vessel = 2R.
Since,
- Radius of hemispherical bowl = R
We know,
- Height of hemispherical bowl = Radius of hemispherical bowl
So,
- Height of hemispherical bowl = R
Now,
- Height of vessel = 2R
Thus,
- Height of cylindrical part = 2R - R = R.
Now,
We have,
- Height of cylindrical part, h = R
- Radius of cylindrical part, r = R
- Radius of hemispherical bowl, r = R
So,
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