Q. 114.1( 7 Votes )

# A bucket is in the form of a frustum of a cone and its 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.

Answer :

Given: volume of bucket = 28.49 litres

1 litre = 1000 cm^{3}

∴ 28.49 litres = 28.49 × 1000 cm^{3}

∴ Volume of bucket = 28490 cm^{3}

Radius of upper circular end = R = 28 cm

Radius of lower circular end = r = 21 cm

Let ‘h’ be the height of the bucket

Volume of bucket = volume of frustum of cone

∴ 28490 × 21 = h × 22 × (784 + 441 + 588)

∴ h = 598290/39886 cm

∴ h = 15 cm

∴ Height of bucket = h = 15 cm

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