Q. 74.0( 8 Votes )

Answer :

Given: Depth of the bucket = height of frustum = h = 15 cm

Diameter of top of bucket = 56 cm

Diameter of bottom of bucket = 42 cm

∴ Radius of top = R = 56/2 = 28 cm

∴ Radius of bottom = r = 42/2 = 21 cm

Volume of water bucket can hold = volume of bucket which is in form of frustum

= (22/7) × 5 × (784 + 441 + 588) cm^{3}

= (22/7) × 5 × 1813 cm^{3}

= 22 × 5 × 259 cm^{3}

= 28490 cm^{3}

Now 1 litre = 1000 cm^{3}

∴ 28490 cm^{3} = 28490/1000 litres

= 28.49 litres

∴ bucket can hold 28.49 litres of water

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