Q. 114.1( 7 Votes )

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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PREVIOUSA container in the shape of a frustum of a cone having diameters of its two circular faces as 35 cm and 30 cm and vertical height 14 cm, is completely filled with oil. If each cm3 of oil has mass 1.2g, then find the cost of oil in the container if it costs Rs 40 per kg.NEXTThe radii of the circular ends of a bucket of height 15 cm are 14 cm and r cm (r < 14). If the volume of the bucket is 5390 cm3, find the value of r.

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