A bucket is the form of a frustum of a cone and can hold 28.49 litres of water. If the radii of its circular end are 28cm and 21cm find the height of the bucket
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Volume - 28.49 litres => 28.49 x 1000 => 28490 cm3
R - 28 cm
r - 21 cm
Volume = 1/3 x pi x h [ R2 + r2 + Rr ]
28490 = 1/3 x 22/7 x h [ 784 + 441 + 588 ]
28490 = 1/3 x 22/7 x h x 1813
h = (28490 x 3 x 7 ) / 22 x 1713
On solving,
H = 15 cm
R - 28 cm
r - 21 cm
Volume = 1/3 x pi x h [ R2 + r2 + Rr ]
28490 = 1/3 x 22/7 x h [ 784 + 441 + 588 ]
28490 = 1/3 x 22/7 x h x 1813
h = (28490 x 3 x 7 ) / 22 x 1713
On solving,
H = 15 cm
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