Question
A cylindrical bucket of height 150 cm and radius 50 cm
is full of water. A person wants to fill spherical balloons of radius 5 cm each with the water in the bucket. How many balloons can he fill with the water present in the bucket?Solution
Let no number of spherical balloons be required. According to the question, Ο Γ 502 Γ 150 = (4/3) Γ Ο x 53 x n Β 2500 Γ 150 = (4/3) x 125n 20 x 150 = (4/3) n 3000 = (4/3) n n = (3/4) x 3000 Β n = 2250 So, a total of 2250 balloons are required.
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