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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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ConceptVolume of a Sphere

#### 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 jar16/75cm.

Is there an error in this question or solution?

#### 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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