If the height and base area of a solid hemisphere and a solid cylinder are same, then the ratio of their volume is
(a) 1 : 3
(b) 1 : 2
(c) 2 : 3
(d) 3 : 4
WBBSE
Class X
Mathematics
Real Life Problems Related To Different Solid Object
01 Mark
2024
(b) 1 : 2
Explanation:
Let radius = r.
For hemisphere:
- height = r,
- base area = πr².
- Volume of hemisphere = (2/3)πr³.
For cylinder:
- height = r,
- base area = πr²
- Volume of cylinder = πr² × r = πr³
Ratio = Volume of hemisphere : Volume of cylinder
= 2\over3πr³ : πr³
= 2 : 3
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