Find the volume of the largest sphere that could be enclosed in a cube with a side length of 10 cm. Round to the nearest tenth.

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15-07-2014
Mathematics

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Find the volume of the largest sphere that could be enclosed in a cube with a side length of 10 cm. Round to the nearest tenth.

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Аноним Аноним · Answer 1 · 2014-07-16T12:43:26-04:00

Аноним Аноним

16-07-2014

[tex]Look\ at\ he\ picture.\\\\R=5cm\\\\V=\frac{4}{3}\pi R^3\\\\V=\frac{4}{3}\pi\cdot5^3=\frac{4}{3}\pi\cdot125=\frac{500}{3}\pi\approx\frac{500}{3}\cdot3.14\approx523.3\ (cm^3)[/tex]

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