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Suppose the radius of the sphere is R.

The base of the cone is the same as the base of the hemisphere so the radius of the base of the cone is also R.

The apex of the cone is on the surface of the hemisphere above the centre of the base. That is, it is at the "North pole" position. So the height of the cone is also the radius of the sphere = R.

So the ratio is 1.

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Q: How do you calculate this a right circular cone is inscribed in a hemisphere so that base of cone coincides with base of hemisphere what is the ratio of the height of cone to radius of hemisphere?
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Related questions

How do you calculate this- a right circular cone is inscribed in a hemisphere so that base of cone coincides with base of hemisphere what is the ratio of the height of cone to radius of hemisphere?

The vertex of the cone would reach the very top of the sphere, so the height of the cone would be the same as the radius of the sphere. Therefore the ratio is 1:1, no calculation is necessary.


Can an equilateral triangle be circular?

Yes. Any triangle can be inscribed in a circle.


Does a hemisphere have a vertex?

No but it has a circular edge


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One circular edge.


What is half a sphere with a circular base?

Half of a sphere with a circular base is called a Hemisphere.


A hemisphere has how many edges?

It has one circular edge.


Which shape has one circular base?

A cone or a hemisphere or circle


How much corners does a hemisphere have?

None but it does have a circular rim or edge.


What shape has 1 circular face which is half the surface of a sphere?

It is a hemisphere.


What has 1 flat circular base an 1 curved surface?

hemisphere


How do you Calculate circular area?

a = (pi)r2


What shape has one circular face and one which has half the surface of a sphere?

It is a hemisphere