A cylinder and a cone have the same height, 2r, and base diameter,2r. A sphere has a diameter 2r. Find the ratio of the volume of cylinder to that of the cone and to that of the sphere.
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•Cylinder―
Base radius=r
Height=2r
Volume=πr^2h
=2πr^3
•Cone―
Base radius=r
Height=2r
Volume=(1/3)πr^2h
=(2/3)πr^3
•Sphere–
Radius=r
Volume=(4/3)πr^3
Therefore, required ratio =
2πr^3 : (2/3)πr^3 : (4/3)πr^3
= 3 : 1 : 2 [Answer]
Hope this helps. For discussion or clarification please comment. For more follow me. Thanks!
Base radius=r
Height=2r
Volume=πr^2h
=2πr^3
•Cone―
Base radius=r
Height=2r
Volume=(1/3)πr^2h
=(2/3)πr^3
•Sphere–
Radius=r
Volume=(4/3)πr^3
Therefore, required ratio =
2πr^3 : (2/3)πr^3 : (4/3)πr^3
= 3 : 1 : 2 [Answer]
Hope this helps. For discussion or clarification please comment. For more follow me. Thanks!
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