the radii of the bases as well as height of a cylinder and a cone are equal to r cm and the radius of the hemisphere is also equal to the height of the cone .find the ratio of the volume of cone,cylinder and hemisphere respectively
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Answered by
8
Cylinder :
Height = r cm
Radius = r cm
Volume = πr^2h
= πr^3
Cone:
Height = r cm
Radius = r cm
Volume = 1/3 * πr^2h
= 1/3 * πr^3
Hemisphere:
Radius = r cm
Volume = 4/3 * πr^2h
= 4/3 * πr^3
Ratio = Cylinder : Cone : Hemisphere
= πr^3 : 1/3 * πr^3 : 4/3 * πr^3
= 1 : 1/3 : 4/3
= 3 : 1 : 4
Answered by
0
3:1:4 is the answer
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