Math, asked by reetkaur3382, 1 year ago

A cone and a hemisphere have equal bases and equal volume. Find the ratio of their heights

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Answers

Answered by playboy23

If they have equal (coinciding) bases, it means that the radii of the two shapes is identical. Given that it is a hemisphere, it’s height is the radius.

Volume of cone = 1/3 π r^2. h

Volume of hemisphere = 2/3 π r^3

So, equating the two, we get h=2r, where h is height of cone and r is effectively the height of the hemisphere.Thus,

h:r :: 2:1, or the cone is twice the height hemisphere.

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Anonymous: i saw your profile you should not always ask question but also try to answer the question asked by others

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Anonymous: try to answer the questions

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Answered by Anonymous

Answer:

Step-by-step explanation:

If they have equal (coinciding) bases, it means that the radii of the two shapes is identical. Given that it is a hemisphere, it’s height is the radius.

Volume of cone = 1/3 π r^2. h

Volume of hemisphere = 2/3 π r^3

So, equating the two, we get h=2r, where h is height of cone and r is effectively the height of the hemisphere.Thus,

h:r :: 2:1, or the cone is twice the height hemisphere.

reetkaur3382: Thanks

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