If i have a rectangular prism of clay that is 2x3x4 and i molded it into a sphere what would the surface area be?
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Volume of prism = 2x3x4 = 24
Volume of sphere = 24
4/3 pi r^3 = 24
pi r^3 = 18
r^3 = 18/pi
r = (18/pi)^(1/3)
Surface area of sphere = 4 pi r^2
SA = 4 pi (18/pi)^(2/3)
SA = 40.23694
Volume of sphere = 24
4/3 pi r^3 = 24
pi r^3 = 18
r^3 = 18/pi
r = (18/pi)^(1/3)
Surface area of sphere = 4 pi r^2
SA = 4 pi (18/pi)^(2/3)
SA = 40.23694
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V = 2*3*4 = (4/3) pi * r^3
solve for r.
A = 4 * pi * r^2
plug in r.
solve for r.
A = 4 * pi * r^2
plug in r.