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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 completely with the water present in the bucket?

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 completely with the water present in the bucket? Correct Answer 2250

Given:

A cylindrical bucket of height 150 cm and radius 50 cm is full of water.

It is needed to be filled with some spherical balloons of the radius of 5 each

Concept used:

Volume of a cylinder = πr2h

Volume of a sphere = (4/3)πr3

r = radius of sphere and base of the cylinder

h = height

Calculation:

Let n number of spherical balloons be required

According to the question,

π × 502 × 150 = (4/3) × π × 53 × n

⇒ 2500 × 150 = (4/3) × 125n

⇒ 20 × 150 = (4/3)n

⇒ 3000 = (4/3)n

⇒ n = (3/4) × 3000

⇒ n = 2250

So, a total of 2250 balloons are required

∴ 2250 balloons can he fill completely with the water present in the bucket.

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