Q. 375.0( 1 Vote )

# A bucket is in th

Upper end radius of frustum/bucket = R = 20 cm

Lower end radius of frustum/bucket =r = 12 cm

Height of the frustum/bucket be ‘h’ cm

And we know,

The capacity of bucket = Volume of the bucket

And, Volume of bucket = Volume of Frustum

Volume of frustum/bucket = V = 12308.8 cm3

Capacity of bucket = Volume of frustum

Volume of frustum

Where R = Radius of larger or upper end and r = Radius of smaller or lower end and h = height of frustum π = 3.14

(putting the values)

3.14 × h × (144 + 400 + 240) = 12308.8 × 3

3.14 × h × 784 = 36926.4

2461.76 × h = 36926.4

h = 36926.4/2461.76

h = 15 cm

The height of the bucket is 15 cm.

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