The radius of a right circular cylinder and a hemisphere is equal and their volumes are also equal. The height of the hemisphere is greater than the height of the cylinder by
(a) 25%
(b) 50%
(c) 100%
(d) 200%
WBBSE
Class X
Mathematics
Real Life Problems Related To Different Solid Object
01 Mark
2025
(b) 50%
Explanation:
- Volume of a cylinder = πr²h
- Volume of a hemisphere = 2\over 3πr³
Given both volumes are equal, we get:
πr²h = 2\over 3πr³
Solving for h:
h = 2\over 3 r
Now, the height of the hemisphere is r.
The increase in height:
r – 2\over 3r = 1\over 3r
Percentage increase:
1\over 3 ÷ 2\over 3 × 100 = 50%
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