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A sphere has a radius of 6 meters. A second sphere has a radius of 3 meters. What is the difference of the volumes of the spheres? The volume of the larger sphere is π cubic meters greater than the volume of the smaller sphere.

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devishri1977

Answer:

Step-by-step explanation:

volume of sphere = (4/3)πr³

Difference= [(4/3)*π*6³]-[(4/3)*π*3³]

[tex]=\pi*[(\frac{4}{3}*6*6*6) - (\frac{4}{3}*3*3*3)]\\\\=\pi*[(4*2*6*6)-(4*3*3)]\\\\=\pi *[288-36]\\\\=252\pi[/tex]

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