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Question
If the radii of the circular ends of a conical bucket which is 45 cm high be 28 cm and 7 cm, find the capacity of the bucket. (Use π = 22/7).
Solution
The height of the conical bucket is h = 45 cm. The radii of the bottom and top circles are r1 = 28cm and r2 =7cm respectively.
The volume/capacity of the conical bucket is
`V=1/3pi(r_1^2+r_1r_2+r_2^2)xxh`
`=1/3pi(28^2+28xx7+7^2)xx45`
`=1/3xx22/7xx1029xx45`
= 22 x 147 x 15
= 48510 cm3
Hence volume = 48510 cm3
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