26. A cone and a cylinder have the same radii but the height of the cone is 3 times that of the cylinder. Find the ratio of
their volumes
SECTION -IV
(7 x 3=21M)
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Step-by-step explanation:
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Answer:The volume of a cone, V(cone), is given by the following formula:
V(cone) = (1/3)πr²h
The volume of a cylinder, V(cylinder), is given by the following formula:
V(cylinder) = πr²h
Since a given cone and a cylinder have the same radius r and height h, then the ratio of their volumes is:
V(cone)/V(cylinder) = [(1/3)πr²h]/(πr²h)
= (1/3)(π/π)(r²/r²)(h/h)
= (1/3)(1)(1)(1)
= 1/3
hence ratio of v[cone] : v [cylinder] = 1:3
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