# A Cylinderical Container with Diameter of Base 42 Cm Contains Sufficient Water to Submerge a Rectangular Soild of Iron with Dimesions 22cm Xx14 Cm 10.5cm. Find the Rise in Level of the Wa - Mathematics

Sum

A cylinderical container with diameter of base 42 cm contains sufficient water to submerge a rectangular soild of iron with dimesions 22cm xx14 cm 10.5cm. find the rise in level of the water the solid is submerged.

#### Solution

"Diameter of cylindrical container"=42 cm

"Therefore, radius (r)"=21 cm

"Dimensions of reactangular solid" =22 cmxx14 cmxx10.5 cm

"Volume of solid"=22x14xx10.5 cm^3

"Let height of water"=h

"Therefore, volume of water in the container"=pir^2h

=22/7xx21xx21xxh cm^3=22xx63h cm^3...........(2)

From (1) and (2)

22xx63h=22xx14xx10.5

⇒ h=(22xx14xx10.5)/(22xx63)

⇒ h=7/3

⇒h=2 1/3 or 2.33 cm

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#### APPEARS IN

Selina Concise Maths Class 10 ICSE
Chapter 20 Cylinder, Cone and Sphere
Exercise 20 (A) | Q 8 | Page 297