the largest sphere is to be carved out of a right circular cylinder of radius 7 cm and height 14 cm find the volume of sphere
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It is given that,
Radius of Cylinder = 7cm
Height of Cylinder = 14cm
As the largest sphere is to be carved into Cylinder.
As we know that, Volume never changes and we can say that Law of Conservation of Volume because while changing, shape can be changed but Volume can't.
So,
Volume of Sphere = Volume of Cylinder
As we know,
Volume of Cylinder = pi r^2 h cubic unit
=> V = 22/7 x 7 x 7 x 14 cm^3
=> V = 22 x 7 x 14 cm^3
=> V = 2156 cm^3
Radius of Cylinder = 7cm
Height of Cylinder = 14cm
As the largest sphere is to be carved into Cylinder.
As we know that, Volume never changes and we can say that Law of Conservation of Volume because while changing, shape can be changed but Volume can't.
So,
Volume of Sphere = Volume of Cylinder
As we know,
Volume of Cylinder = pi r^2 h cubic unit
=> V = 22/7 x 7 x 7 x 14 cm^3
=> V = 22 x 7 x 14 cm^3
=> V = 2156 cm^3
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