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Solution for A Cylindrical Tub of Radius 12 Cm Contains Water to a Depth of 20 Cm. a Spherical Form Ball is Dropped into the Tub and Thus the Level of Water is Raised by 6.75 Cm. What is the Radius of the Ball? - CBSE Class 9 - Mathematics

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Question

A cylindrical tub of radius 12 cm contains water to a depth of 20 cm. A spherical form ball is dropped into the tub and thus the level of water is raised by 6.75 cm. What is the radius of the ball?

Solution

A cylindrical tub of radius = 12cm
Depth = 20cm.
Let r cm be the radius of the ball
Then, volume of ball = volume of water raised 

=`4/3πr^3 = π r^2h`

=`4/3πr^3 = π xx(12)^2 xx6.75`

⇒  `r^3=(144xx6.75xx3)/4`

⇒ `r^3=729`

⇒  r = 9cm 

Thus, radius of the ball = 9cm. 

  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
Q: 26 | Page no. 21
Solution A Cylindrical Tub of Radius 12 Cm Contains Water to a Depth of 20 Cm. a Spherical Form Ball is Dropped into the Tub and Thus the Level of Water is Raised by 6.75 Cm. What is the Radius of the Ball? Concept: Volume of a Sphere.
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