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# Cool Question

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A sphere is inscribed inside a hemisphere of radius 2. What is the volume of this sphere?

4/3 pi is right! Good job everyone, and hopefully I'll post my solution, later.

Feb 17, 2019
edited by tertre  Feb 20, 2019

#1
+6196
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$$\text{the inscribed sphere has a radius }\tilde{r} = 1\\ vol = \dfrac 4 3 \pi r^3 = \dfrac 4 3 \pi$$

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Feb 17, 2019
#2
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I ended the equation getting 33.49

Feb 18, 2019
#3
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If the hemisphere has radius 2, then the sphere will have radius 1. Solving for the formula of a sphere, we get 4/3 pi, which simplifies to about 4.2

The sphere is inscribed in the hemisphere, so the sphere doesn't have radius 2, it has radius 1. If the sphere has radius 2, then your answer is correct. But since it has radius 1, the answer is 4.2

Feb 18, 2019
#4
+428
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oooooh sorry I never heard of hemisphere's before I proablly learn about those soon hopefully.

Feb 18, 2019