SOLUTION: The weight of a sphere is proportional to its radius cubed. If a sphere of diameter 1 cm has a mass of 4 grams, what diameter sphere has a mass of 108 grams?
Algebra.Com
Question 667722: The weight of a sphere is proportional to its radius cubed. If a sphere of diameter 1 cm has a mass of 4 grams, what diameter sphere has a mass of 108 grams?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
where k is the constant of proportionality
mass 4 gm radius = 1/2cm
k=32
mass = 108
k= 32
r=?
take the cube root
3/2 = r
r= 1.5 cm
diameter is twice the radius.
RELATED QUESTIONS
The weight of a sphere is proportional to its radius cubed. If a sphere of diameter 2 cm... (answered by Alan3354)
The mass of a sphere is proportional to its radius cubed. If a sphere of diameter 2 cm... (answered by drk)
a sphere has a diameter of 4 cm. what is the volume of the... (answered by edjones)
Find the diameter of a sphere to the nearest 100th if its volume is 660mm cubed (answered by stanbon)
The diameter of a sphere d is directly proportional to the cube root of the mass w. Given (answered by josgarithmetic)
If spherical metal ball has a mass of 1.00E3 g and a density of 10.9 g/mL. What is its... (answered by Alan3354)
If the volume of a sphere is 500pi/3 meters cubed, what is the diameter of the... (answered by jim_thompson5910)
The radius of one sphere is half the length of the radius of a second sphere. If the... (answered by Alan3354)
if a sphere has a diameter of 30 what is half the volume of the... (answered by Alan3354)