Question
A big iron boiler tank which is cylindrical in shape is open at the top. Its height is 10 m and radius is 7 m. It gets corroded at a rate of 3 m2/day. The number of days it will take to corrode completely is ____ .
(use π=227)
(use π=227)
Answer: Option C
:
C
Surface area of the boiler = Curved surface area of boiler + Base area of boiler
=2πrh+πr2
=2×227×7×10+227×72
=440+154
=594m2
Now, number of days to corrode
=TotalSurfaceAreaoftankAreacorrodedperday
=5943
=198days
∴ Boiler will take 198 days to get corroded completely.
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:
C
Surface area of the boiler = Curved surface area of boiler + Base area of boiler
=2πrh+πr2
=2×227×7×10+227×72
=440+154
=594m2
Now, number of days to corrode
=TotalSurfaceAreaoftankAreacorrodedperday
=5943
=198days
∴ Boiler will take 198 days to get corroded completely.
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