A bucket is 44cm in diameter at the top and 24cm in diameter at the bottom . Find its capacity in litres if it is 36cm deep.
Answers
Given : A bucket is 44cm in diameter at the top and 24 cm in diameter at the bottom .
36cm deep.
To Find: capacity in litres
Solution:
Radius = diameter / 2
Volume of a given frustum = V = (1/3) * π * h * (r₁² + r₂² + (r₁ * r₂))
r₁ = 44/2 = 22 cm
r₂ = 24/2 = 12 cm
h = 36 cm depth
Volume of bucket = (1/3) * π * 36 * (22² + 12² + (22 * 12))
=> Volume of bucket = 12 * π * (892)
=> Volume of bucket = 12 *3.14 * (892)
=> Volume of bucket = 12 *3.14 * (892)
=> Volume of bucket = 33,610.56 cm³
1 cm³ = 1 ml
=> capacity of bucket = 33,610.56 ml
1000 ml = 1litre
=> capacity of bucket = 33.61056 litre
capacity of bucket = 33.61 litre
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