Asked by robby
a sphere has a volume of 500/3pi cubvic centimeters. What is the total surface area, in square centimeters, of the square? The answer is 100pi, but i don't know why. HELP!!!!!!!!!
Answers
Answered by
Steve
You just have to relate the formulas for volume and area.
v = 4/3 pi r^3
use that to get r.
500pi/3 = 4pi/3 r^3
500pi/3 * 3/4pi = r^3
125 = r^3
r = 5
Knowing that r=5, we can now get the area:
a = 4pi r^2 = 4pi * 25 = 100pi
v = 4/3 pi r^3
use that to get r.
500pi/3 = 4pi/3 r^3
500pi/3 * 3/4pi = r^3
125 = r^3
r = 5
Knowing that r=5, we can now get the area:
a = 4pi r^2 = 4pi * 25 = 100pi
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