SOLUTION: Two spheres of the same density have a ratio of 4 to 9 in surface area. If the small sphere weighs 10 lb. what does the sphere weigh? Thanks

Question 626129: Two spheres of the same density have a ratio of 4 to 9 in surface area. If the small sphere weighs 10 lb. what does the sphere weigh?
Thanks
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Two spheres of the same density have a ratio of 4 to 9 in surface area.
If the small sphere weighs 10 lb. what does the sphere weigh?
:
Surface area of the two spheres;
r1= radius of the small sphere
r2= radius of the larger sphere
=
cancel 4*pi
=
:
=
therefore
r1 = 2
r2 = 3
:
Vol is equiv of weight here
let w = weight of the larger sphere
=
Cancel and you have:
=
cross multiply
8w = 27*10
w =
w = 33.75, the weight of the larger sphere

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