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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.

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APPEARS IN

 RD Sharma Solution for Mathematics for Class 9 by R D Sharma (2018-19 Session) (2018 to Current)
Chapter 21: Surface Areas and Volume of a Sphere
Ex.21.20 | Q: 29 | Page no. 21
Solution 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.
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