SOLUTION: Took a test two days ago, did great, trying to make corrections on this ONE problem. Can any one assist? Solve and explain. Appreciate it much. The volume of earth is roughly 6.

Algebra ->  Volume -> SOLUTION: Took a test two days ago, did great, trying to make corrections on this ONE problem. Can any one assist? Solve and explain. Appreciate it much. The volume of earth is roughly 6.      Log On


   

Question 709647: Took a test two days ago, did great, trying to make corrections on this ONE problem. Can any one assist? Solve and explain. Appreciate it much.
The volume of earth is roughly 6.7 times that of mars, find diameter of mars.
No other info. given. It says to explain. I have no idea where to even begin, I was so far off. Please help. Need corrections by Monday morning.
Answer by DrBeeee(684) About Me  (Show Source):
You can put this solution on YOUR website!
I think you need to know that the diameter of earth is about 8000 mi. (radius about 4000 mi.)
The volume of a sphere is
(1) V = 4/3*pi*(r^3)
The ratio of Ve/Vm is
(2) (re)^3/(rm)^3 = 6.7
Take the cube root of (2) and get
(4) re/rm = 1.885 or
(5) rm = 0.530*re or
(6) dm = .0530*8000 or
(7) dm = 4244 mi.
Answer: Mars' diameter is approximately 4144 miles.