14.A cone and a hemisphere have equal radius and volume.Then the
ratio of their heights are_________.
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14.A cone and a hemisphere have equal radius and volume.Then the
ratio of their heights are_________.
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Verified answer
Answer:
The ratio of the height of the hemisphere to the height of the cone is 1 : 2.
Step-by-step-explanation:
We have given that,
The radius and volume of a cone and a hemisphere are equal.
We have to find the ratio of their heights.
Let the radius of the cone and the hemisphere be "r".
And the height of the cone be "h" and that for the hemisphere be "H".
Now,
∴ The ratio of the height of the hemisphere to the height of the cone is 1 : 2.