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प्रश्न
A bucket is in the form of a frustum of a cone and it can hold 28.49 litres of water. If the radii of its circular ends are 28 cm and 21 cm, find the height of the bucket. [Use`pi22/7` ]
उत्तर
Let the height of the bucket be h cm.
Suppose r1 and r2 be the radii of the circular ends of the bucket.
Given, r1 = 28 cm and r2 = 21 cm
Capacity of bucket = 28.49 litres
∴Volume of the bucket = 28.49 × 1000 cm3 [1 litre = 1000 cm3]
`rArr1/3pih(r_1^2+r_2^2+r_1r_2)=28.49xx1000cm^3`
`rArr1/3xx22/7xxhxx[(28)^2+(21)^2+(28xx21)]cm^2=28490`
`rArr22/21xxhxx1813=28490 cm`
`rArrh=(28940x21)/(22xx1813)cm`
`h=15cm`
Thus, the height of the bucket is 15 cm.
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