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.

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) (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.
RELATED QUESTIONS
A student is asked to solve the equation x^2 +x - 6 = 5 The student gives the... (answered by stanbon)

I am having a word problem issue and was hoping you could assist me.The Problem is:... (answered by rothauserc)

Trying to assist son with homework that is due Monday. I never took algebra in high... (answered by scott8148)

Do you know compounding interest; Pe rt; find the "r" rate of interest At what interest (answered by checkley77)

Do you know compounding interest; Pe rt; find the "r" rate of interest At what interest (answered by scott8148)

I'm Making test corrections and This One Type problem confuses me. "If 48 apples cost... (answered by TimothyLamb)

How do you solve problems in proofs in general. My daughter has a huge test tomorrow and (answered by vleith)

On a 5 hour trip, Thomas drove part of the time at 30mph and the rest at 55mph. If he... (answered by richwmiller)

Please assist. I'm trying to solve this probability problem from a WebAssign homework... (answered by stanbon)