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Solution for A Measuring Jar of Internal Diameter 10 Cm is Partially Filled with Water. Four Equal Spherical Balls of Diameter 2 Cm Each Are Dropped in It and They Sink Down in Water Completely, Change Level Jar? - CBSE Class 9 - Mathematics

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Question

A measuring jar of internal diameter 10 cm is partially filled with water. Four equal spherical balls of diameter 2 cm each are dropped in it and they sink down in water completely. What will be the change in the level of water in the jar?

Solution

Given that,
Diameter of jar = 10cm
Radius of jar = 5cm
Let the level of water raised by ‘h’
Diameter of spherical ball = 2cm
Radius of the ball =1cm
Volume of jar = 4(Volume of spherical)

⇒ `πr_1^2h=4(4/3πr_2^3)`

⇒`r_1^2h=4xx4/3r_2^3`

⇒`r_1^2h=4xx4/3xx1xx1xx1`

⇒`h=(4xx4xx1)/(3xx5xx5)`

⇒`h=16/75cm.`

∴ Height of water in jar`16/75`cm.

  Is there an error in this question or solution?

APPEARS IN

 R.D. Sharma Mathematics for Class 9 by R D Sharma (2018-19 Session) (with solutions)
Chapter 18: Surface Areas and Volume of a Cuboid and Cube
Q: 18
Solution for question: A Measuring Jar of Internal Diameter 10 Cm is Partially Filled with Water. Four Equal Spherical Balls of Diameter 2 Cm Each Are Dropped in It and They Sink Down in Water Completely, Change Level Jar? concept: Volume of a Sphere. For the course CBSE
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