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[Solved] The radius of Jupiter is 11 times the radius of the Earth. Calculate the ratio of the volumes of Jupiter and the Earth. How many Earths can Jupiter accommodate?

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The radius of Jupiter is 11 times the radius of the Earth. Calculate the ratio of the volumes of Jupiter and the Earth. How many Earths can Jupiter accommodate?

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Let the radius of Earth be r units.

Earth's volume = \(\frac{4}{3} \pi (r^3)\)

Radius of Jupiter = 11r

∴ Volume of Jupiter = \(\frac{4}{3} \pi {(11r)^3}\) = \(1331(\frac{4}{3} \pi r^3)\)

∴ \(\frac{Volume \;of \; Jupiter}{Volume \;of \;Earth} \) = \(\frac{1331(\frac{4}{3}\pi r^3)}{\frac{4}{3}\pi r^3}\) = 1331

This post was modified 4 years ago 2 times by Raavi Tiwari
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