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Question
A cylindrical tank has a radius of 154 cm. It is filled with water to a height of 3 m. If water to a height of 4.5 m is poured into it, what will be the increase in the volume of water in kl?
Solution
Radius of cylindrical tank = 154 cm
Initial height of water tank = 3 m = 3 × 100 cm ...[∵ 1 m = 100 cm]
∴ Volume of water = πr2h
= `22/7 xx 154 xx 154 xx 3 xx 100`
= 22360800 cm3
If height of water 4.5 m is poured into it, then volume of water
= `22/7 xx 154 xx 154 xx 4.5 xx 100`
= 33541200 cm3
Increase in volume = 33541200 – 22360800
= 11180400 cm3
= 11180.4 L ...[1000 cm3 = 1 L]
= 11.1804 kL ...[1 kL = 1000 L]
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