If the volume of the sphere is 36∏ cm^3, Can you find the radius of the sphere?

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My teacher requires work if it is not too much of a hassle please SHOW WORK!!!! thank you for helping.

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Answer 1 · 2017-03-25T02:46:57

#r = 3 cm#

The volume of the given sphere is #36pi cm^3#

The volume of every sphere is: #V=4pi*r^3/3#

So we can equate the two volumes:

#4pi*r^3/3 = 36pi cm^3#

Multiply both sides by #3#:

#4pi*r^3 = 108pi cm^3#

and divide both by #4pi#:

#r^3 = 27 cm^3#

#r = 3 cm#