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The Question:

A particular sphere has the property that its surface area has the same numerical value as its volume. What is the length of the radius of this sphere?

I already know:
surface area formula: 4 pi r^2
volume formula: (4/3) pi r^3

I just don't know how to solve for r in the following equation:

(4/3) pi r^3 = 4 pi 4^2

Please show how to find r step by step.

2007-04-22 08:31:20 · 2 answers · asked by chi_town_legnd 1 in Science & Mathematics Mathematics

2 answers

4/3 pi r^3 = 4 pi r^2dividing both sides by 4pir^2
r/3=1 so r=3

2007-04-22 08:36:08 · answer #1 · answered by santmann2002 7 · 0 0

(4/3)(pi)(r^3)=(4)(pi)(r^2)
divide each side by pi
(4/3)(r^3)=(4)(r^2)
multiply each side by (3/4)
(r^3)=(3)(r^2)
divide each side by (r^2)
r=3

2007-04-22 08:49:58 · answer #2 · answered by mms899 1 · 0 0

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