A solid right circular cone of height 60 cm and radius 30 cm is dropped in a right circular cylinder full of water of height 180 cm and radius 60 cm find the volume of water life in the cylinder in cubic metre
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Here is ur answer :
Given,
Height h of cone = 60 cm
Radius r of cone = 30 cm
Volume of cone
1/3πr2=18000π cm3
_________________
For cylinder
Height h of cylinder = 180 cm
Radius r of cylinder = 60 cm
Volume of cylinder
πr2h=648000cm3
When we drop the cone inside the cylinder which is full of water, then
Volume of water flows out = Volume of cone.
Volume of water that is left in cylinder
= Volume of cylinder — Volume of cone
648000π-18000π
=63000π
=63000*22/7
=198000
=1cm3=1-6m3
=198000cm3=0.198m3
Therfore,
Volume water left in the cylinder = 0.198 m³
Given,
Height h of cone = 60 cm
Radius r of cone = 30 cm
Volume of cone
1/3πr2=18000π cm3
_________________
For cylinder
Height h of cylinder = 180 cm
Radius r of cylinder = 60 cm
Volume of cylinder
πr2h=648000cm3
When we drop the cone inside the cylinder which is full of water, then
Volume of water flows out = Volume of cone.
Volume of water that is left in cylinder
= Volume of cylinder — Volume of cone
648000π-18000π
=63000π
=63000*22/7
=198000
=1cm3=1-6m3
=198000cm3=0.198m3
Therfore,
Volume water left in the cylinder = 0.198 m³
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