A cylinder,a cone,ahemisphere have same base and height. Find the ratio of their volumes
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1
1:2:3 is the ratio of the given
mit4:
hiw is it?
how is it
take there volumes and do it u will get
volume of the cone
volume of the cylinder
volume of hemisphere
Answered by
1
Let r be the radius of a cylinder ,a cone and a hemisphere and
h be the height of a cylinder , a cone and a hemisphere.
we know that r = h
then
v1 = volume of cylinder = πr^2h
v2 = volume of cone = 1/3 πr^2h
v3 = volume of hemisphere = 2/3 πr^ 3
so,
=>v1: v2: v3 = πr^2h : 1/3πr^2h : 2/3πr^3
=>v1 : v2 : v3= 3h : h : 2 r
=>v1 : v2: v3= 3 : 1 : 2
h be the height of a cylinder , a cone and a hemisphere.
we know that r = h
then
v1 = volume of cylinder = πr^2h
v2 = volume of cone = 1/3 πr^2h
v3 = volume of hemisphere = 2/3 πr^ 3
so,
=>v1: v2: v3 = πr^2h : 1/3πr^2h : 2/3πr^3
=>v1 : v2 : v3= 3h : h : 2 r
=>v1 : v2: v3= 3 : 1 : 2
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