SOLUTION: The diameter of a ball weighing 32 lbs is 6 inches. What is the diameter of a ball weighing 4 lbs?
Algebra.Com
Question 606734: The diameter of a ball weighing 32 lbs is 6 inches. What is the diameter of a ball weighing 4 lbs?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The only way to solve this problem with the information given is to assume that the two balls are made of the same material and that both balls are of uniform density.
Given that we can assume that the weight is directly proportional to the volume of each of the balls and since we know that the volume of a sphere is directly proportional to the cube of the diameter, we can say that the diameter is directly proportional to the cube root of the weight.
Substitute 6 and 32 for the diameter and the weight and then calculate the value of 
. Very important: At this point leave the value of in radical form, simplified and with the denominator rationalized.
Then, using your value for and using 4 for the weight, solve
for 
Properly done, will be an integer.
John
My calculator said it, I believe it, that settles it
RELATED QUESTIONS
A bus weighing 14000 lbs traveling at 25 mph, runs into the back of a stopped automobile... (answered by richwmiller)
There are 3 boxes of returns to be loaded on a truck, weighing 10 lbs., 5 lbs., and 15... (answered by Fombitz)
2 children are balanced on a seesaw. One of them weighing 40 lbs is 6 feet from the... (answered by stanbon)
Mary ball had a diameter of 13 inches what is the volume of air needed to fill Mary's... (answered by ikleyn,addingup)
the diameter of a beach ball is about 11 times the diameter of a tennis ball. The surface (answered by Alan3354)
what is the volume of a ball if its diameter is 11... (answered by Alan3354,rfer,jim_thompson5910)
if a spherical ball has a diameter of 12 inches, what is the... (answered by Alan3354)
what is the volume of a beach ball with a 18 inches... (answered by stanbon)
what is the volume of a 10" diameter... (answered by stanbon)
