SOLUTION: a spherical metal of radius 10 cm is molten and made into 1000 smaller spheres of equal sizes. in this process the surface area of the metal is increased by .....times.

Algebra ->  Bodies-in-space -> SOLUTION: a spherical metal of radius 10 cm is molten and made into 1000 smaller spheres of equal sizes. in this process the surface area of the metal is increased by .....times.      Log On


   



Question 554010: a spherical metal of radius 10 cm is molten and made into 1000 smaller spheres of equal sizes. in this process the surface area of the metal is increased by .....times.
Answer by Alan3354(69443) About Me  (Show Source):
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a spherical metal of radius 10 cm is molten and made into 1000 smaller spheres of equal sizes. in this process the surface area of the metal is increased by .....times.
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Original SA = 4*pi*10^2 = 400pi sq cm
1000 spheres --> 1/10 the radius = 1 cm
New SA = 4pi*1000 = 4000pi sq cm
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The SA is increased by a factor of 10.
--> increased by 9 times
ie, it's 10 times as much, 9 times more.