Answer:
answr
search
What would you like to ask?
9th
Maths
Surface Areas and Volumes
Surface Area of Right Circular Cylinders and Cones
A cylindrical container wit...
MATHS
avatar
Asked on December 20, 2019 by
Ziya Vïvəķ
A cylindrical container with diameter of base 56cm contains sufficient water to submerge a rectangular solid of iron with dimensions (32×22cm×14cm). Find the rise in the level of water when the solid is completely submerged.
MEDIUM
Share
Study later
ANSWER
Given,
Diameter of the base of the cylindrical container d=56 cm
Hence, radius of the base of the cylindrical container r=
2
56
=28 cm
Dimensions of rectangular solid is (32 cm×22 cm×14 cm)
We know that when a body is completely submerged in a container containing water,
the rise in the volume of water in the container is equal to the volume of the body.
Let, the water rises to a height h.
Hence,
Volume of water rises in cylindrical container =Volume of the rectangular solid
πr
2
h=32×22×14 cm
3
7
22
×(28)
2
×h=9856 cm
h=
22×784
9856×7
cm
h=4 cm
