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What is the volume of the largest spherical water bubble that can fit in a cuboid with...

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needyourhelp | Student, Kindergarten

Posted December 16, 2011 at 2:14 PM via web

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What is the volume of the largest spherical water bubble that can fit in a cuboid with dimensions 8 cm, 7 cm and 9.5 cm.

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted December 16, 2011 at 2:19 PM (Answer #1)

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The water bubble has a spherical shape. The largest spherical bubble that can fit into the cuboid with dimensions 8 cm, 7 cm and 9.5 cm is a sphere that has a diameter of 7 cm.

The volume of a sphere is given by `(4/3)*pi*r^3`

Substituting the value of r obtained earlier i.e. `7/2 = 3.5` , the volume of the sphere is `(4/3)*pi*3.5^3 = (343/6)*pi`

The required volume of the largest spherical bubble is `(343/6)*pi` cm^3

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