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\The sphere's radius is half the radius of the hemisphere. How does the volume of this hemisphere compare with the volume of the sphere?

User Nikea
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2 Answers

4 votes

Answer:

It is greater than the volume of the sphere.

Explanation:

imagine math :D

User Reinherd
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6.0k points
3 votes

Answer:

4 : 1 or 4 times

Explanation:

V of sphere is

V = 4/3 π r³

then we can compare both of them dirextly

Vs : Vhs

4/3 π r³ : ½ (4/3 π (2r)³)

4/3 π r³ : ½ * 4/3 π 8r³

1 : ½ * 8

1 : 4

Vhs : Vs = 4 : 1

so the volume of hemisphere is 4 times bigger than the sphere.

User Aditya Joshi
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5.5k points