Akon Akhilesh fear and a cylinder stand on equal bases and have the same height find the ratio of their volumes
Answers
Answered by
1
Let, the base of the sphere and the cylinder = B and the height of sphere and the cylinder = H
now,the volume of the sphere is 4/3 πr^3
and the volume of the cylinder is πr^2h
so,
4/3πr^3/πr^2h
=4r/3/h
=4r/3h
=4h/2/3h [ since, in sphere h=2r]
=4h/6h
=2/3
so, the ratio of their volumes is 2:3
hope it will work.☺️
now,the volume of the sphere is 4/3 πr^3
and the volume of the cylinder is πr^2h
so,
4/3πr^3/πr^2h
=4r/3/h
=4r/3h
=4h/2/3h [ since, in sphere h=2r]
=4h/6h
=2/3
so, the ratio of their volumes is 2:3
hope it will work.☺️
Similar questions