A round temple has cylindrical base and hemispherical top of radius 3 meter. If total height of th

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24 Mar 2010 Round Temple

A round temple has cylindrical base and hemispherical top of radius 3 meter. If total height of the temple is 8 meter
then total volume of air in the temple is
(Given that 1 cubic meter = 1000 litre)

OPtion

1) 10000 litres
2) 22000 litres
3) 198000 litres
4) 198 litres
5) 80000 litres
6) 22 litres
7) 800 litres
8) 100 litres
9) 160000 litres
10) 80 litres

Solution

Height of cylinder = (8-3) meter = 5 meter
Volume of cylinder = п r2h = п (3)2 (5)
Volume of hemisphere = (2/3) п r3 = (2/3) п (3)3
Total volume = п (3)2 (5) + (2/3) п (3)3
= п (3)2 (5 + 2) = (22/7) * 9 * 7 = 198 cubic meter
= 198000 litres

Correct Option: 3 Best Solution (5)