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in this example we're asked to find the
volume of the Gibbons sphere to find the
volume of a sphere we use the formula
volume equals 4/3 times pi times radius
cubed so here since the radius is three
inches we can plug three inches in for
the radius in our formula and we have
4/3 times pi times three inches cubed
remember that three inches cubed is the
same thing as three inches times three
inches times three inches which equals
27 inches cubed and we have 4/3 pi times
27 inches cubed next notice that the 27
and three cross cancel two 9 and one and
we have 4 times pi times 9 inches cubed
which simplifies to 36 PI inches cubed
so one way to write the volume of the
given sphere is 36 PI cubic inches next
remember that pi is approximately equal
to 3.14 so we can plug 3.14 and 4 pi and
we have 36 times 3.14 inches cubed which
equals 113 point 0 4 inches cubed so
another way to write the volume of the
given sphere is 113 point 0 4 cubic
inches so remember this formula for the
volume of a sphere 4/3 pi times the
radius cubed