A bucket is in the form of frustum of cone and holds 28.49 litres of water . the radii of top and bottom are 28 cm and 21 cm . find the height of bucket......
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R = 28 cm
r = 21 cm
Let height of frustum be h cm
∴ Volume held by bucket = 28.490 litres = 28490 cm³
Also,
Volume of frustum = π(R²+Rr+r²)h/3
=> 28490 = 22*(784+588+441)*h/(3*7)
=> 1813h = 28490*21/22
=> h = 27195/1813 = 15cm
r = 21 cm
Let height of frustum be h cm
∴ Volume held by bucket = 28.490 litres = 28490 cm³
Also,
Volume of frustum = π(R²+Rr+r²)h/3
=> 28490 = 22*(784+588+441)*h/(3*7)
=> 1813h = 28490*21/22
=> h = 27195/1813 = 15cm
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