# Six spherical balls of radius 7 cm are dropped in a bucket which is full of water upto the brim. The water flowed out is collected in a cylindrical ja

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Six spherical balls of radius 7 cm are dropped in a bucket which is full of water upto the brim. The water flowed out is collected in a cylindrical jar of radius 14 cm. What is the height of the water in the jar?
1. 14 cm
2. 6 cm
3. 7 cm
4. 10 cm

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Correct Answer - Option 1 : 14 cm

Given:

Radius of small balls = 7cm

Radius of cylindrical jar = 14cm

Formula:

Volume of cylinder = πr2h

Volume of sphere = 4/3 × πr3

Calculation:

Volume of six spherical balls = Volume of cylindrical jar

Volume of six spherical balls = 6 × 4/3 × 22/7 × 73

Volume of cylindrical jar = 22/7 × 142 × h

Then,

⇒ 6 × 4/3 × 22/7 × 73 = 22/7 × 142 × h

⇒ h = 14 cm

∴ Height of cylindrical jar is 14cm.