A cone, a hemisphere and a cylinder stand on equal bases and same height. The ratio of their volumes is 1:2:3. Justify your answer.
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The height is equal to radius jist read the ques once again and concentrate... You'll get it
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let the radius of the three items be r.
And height be h.
In sphere height =radius
h=r
volume of cone=1/3*pie*r^2*h
=1/3*pie*r^2*r
=1/3*pie*r^3
volume of hemisphere =2/3*pie*r^3
volume of cylinder =pie*r^2*h
=pie*r^3
ratio=1/3*pie*r^3:2/3*pie*r^3:pie*r^3
=1/3:2/3:1
multiply by 3
=1:2:3
:-)hope it helps u.
And height be h.
In sphere height =radius
h=r
volume of cone=1/3*pie*r^2*h
=1/3*pie*r^2*r
=1/3*pie*r^3
volume of hemisphere =2/3*pie*r^3
volume of cylinder =pie*r^2*h
=pie*r^3
ratio=1/3*pie*r^3:2/3*pie*r^3:pie*r^3
=1/3:2/3:1
multiply by 3
=1:2:3
:-)hope it helps u.
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