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The radii of two circular ends of frustu...

The radii of two circular ends of frustum shape bucket are 14 cm and 7 cm. Height of the bucket is 30 cm. How many litres of water can it hold ? (1 litre = `1000cm^3`)

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The correct Answer is:
Bucket can hold 10.78 litres of water.
The radii of two circular ends of frustum shape bucket are 14 cm and 7 cm.
`:. R_1=14 cm" and " r_2= 7 cm ` its height (h) = 30 cm
Volume of the bucket `=1/3pi(r_1^2+r_2^2+r_1xxr_2)xx h`
`1/3xx 22/7xx(14^2+7^2+14xx7)xx30`
`=1xx22/7xx(196+49+98)xx10`
`=22/7 xx 343 xx 10`
`=10780 cm^3`
`= 10780/1000`litres ....(1 litre = `1000 cm^3`)
`=10.78 ` litres
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