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Question
A conical container is fully filled with petrol. The radius is 10 m and the height is 15 m. If the container can release the petrol through its bottom at the rate of 25 cu. meter per minute, in how many minutes the container will be emptied. Round off your answer to the nearest minute.
Solution
The radius of the conical container (r) = 10 m
Height of the container (h) = 15 m
Volume of the container = `1/3 pi"r"^2"h" "cu.units"`
= `1/3 xx 22/7 xx 10 xx 10 xx 15 "cu.m"`
= `(22 xx 10 xx 10 xx 5)/7 "cu.m"`
Time taken = `"Volume of the container"/"Volume of petrol release in one minute"`
Time taken = `(22 xx 10 xx 10 xx 5)/(7 xx 25)` minutes
= `(22 xx 10 xx 2)/7` minutes
= 62.86 minutes
= 63 minutes ...(approximate)
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