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Allisa [31]
3 years ago
5

Please help!!

Mathematics
2 answers:
mrs_skeptik [129]3 years ago
8 0
I think the answer would be C.
LiRa [457]3 years ago
8 0

Answer:

its C

Step-by-step explanation:

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Archimedes calculated the volume of a sphere by comparing it to what solid? prism cylinder pyramid box
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<h2>Answer:</h2>

cylinder

<h2>Step-by-step explanation:</h2>

Archimedes was a brilliant mathematician. This man rose the formula of the volume of a sphere by comparing this shape to a cylinder. The volume of a sphere is hard to calculate by comparing this object to a cube. So Archimedes imagined cutting a sphere into two halves, called hemispheres.  So an hemisphere gave him a flat surface, which is easier to work with. Therefore, if he'd find the volume of a hemisphere, then he'd multiply the result by 2 and would get the volume of a sphere. Then he imagined a hemisphere within a cylinder as the one shown below. Also, he imagined a cone within the same cylinder. <em>What did he find?  </em>He found that the volume of the hemisphere should be equal to the volume of the cylinder minus the volume of the cone:

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Then the volume of a sphere is twice this volume:

\boxed{V=\frac{4}{3} \pi r^3}

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