Question:

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 liters of water it can hold ? (1 litre = 1000 cm3 )

Answer:

Given height of bucket , h = 30cm
r1 = 14cm
r2= 7cm
Volume of a frustum = (1/3)h(r12+r22+r1×r2)
Volume of bucket = (1/3)×30(142+72+14×7)
= 10×(196+49+98)
= 3430
= 10780cm3
= 10.78 litres [∵1 litre = 1000 cm3 ]
Hence the bucket can hold 10.78 litres of water.

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