SOLUTION: A cube of side 10cm is melted down and made into ten identical spheres . Calculate the surface area of one of the spheres

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Question 1106374: A cube of side 10cm is melted down and made into ten identical spheres . Calculate the surface area of one of the spheres

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A cube of side 10cm is melted down and made into ten identical spheres . Calculate the surface area of one of the spheres
:
find the volume of the cube: 10^3 = 1000 cu/cm
Find the radius of the spheres using the volume formula
10*4%2F3pi%2Ar%5E3 = 1000
divide both sides by 10
4%2F3pi%2Ar%5E3 = 100
multiply both sides by 3
4*pi%2Ar%5E3 = 300
divide both sides by 4
pi%2Ar%5E3 = 75
r%5E3+=+75%2Fpi
r%5E3+=+23.873
find the cube root
r = 2.88 cm is the radius of the spheres
:
"Calculate the surface area of the 10 spheres"
S.A. = 10(4*pi*2.88^2)
S.A. = 1042.3 sq cm