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The Volume of a Sphere is 905 1/7 Cm3, Find Its Diameter.

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Question

The volume of a sphere is 905 1/7 cm3, find its diameter.

Sum
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Solution

Volume of a sphere = `905 1/7`

`4/3 πr^3 = 6336/7`

`r^3 = (6336 xx 7 xx 3)/( 4 xx 22 xx 7)`

r3 = 216
r = `root(3)(216)`
r = 6 cm

∴ Diameter of a sphere = 2r = 2 x 6 = 12 cm.

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