A bucket is in the form of a frustum of a cone and holds 28.490 liter water .The radii of the top and bottom are 28cm and 21 cm respectively .Find the height of the bucket.
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Given : Volume =28.490 litres =28490cm3
Radius of the top of cone =r1=28 cm.
Radius of the bottom of cone =r2=21 cm.
Find : The height of the bucket.
Volume of frustrum =31π(r12+r22+r1×r2)h
∴28490=31×722×(282+212+28×21)×h
∴28490=2122×(784+441+588)×h
∴h=22×181328490×21=15 cm.
∴ height of the bucket =15 cm.
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