SOLUTION: The diameter of a sphere is increased by 3 times. By what factor does its volume increase? By what factor does its surface area increase?

Question 1066744: The diameter of a sphere is increased by 3 times. By what factor does its volume increase? By what factor does its surface area increase?
Found 2 solutions by Alan3354, josgarithmetic:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The diameter of a sphere is increased by 3 times. By what factor does its volume increase? By what factor does its surface area increase?
----------
"increased by 3 times" ??
3 times the diameter?
or the original + 3 times --> 4 times the diameter?
===========
Vol is a function of the cube of the diameter.
SA is a function of the square of the diameter.

Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
r for radius
d for diameter

For VOLUME

If diameter is increased three times, then new radius is .
New volume, ;

How do and v compare?
How is the new volume changed? Ratio of ?
RELATED QUESTIONS
If all lf the dimensions of a figure are increased by some(multiplying) factor 'k' then... (answered by jorel555)
if the surface area of a sphere is doubled from 250 to 500 by what factor does it's... (answered by Alan3354)
If the diameter of a sphere is increased by 31% by what percentage of the original volume (answered by Alan3354)
diameter of sphere is decreased by 25% by what percent does its curved surface area... (answered by Alan3354)
The radius of a sphere is increased by 10%. Find the percentage increase in its surface... (answered by Alan3354)
The Diameter of a sphere is decreased by 10% By what percent its curved surface area... (answered by Alan3354)
By what percent does the volume of a cube increase when the length of each of its sides... (answered by Earlsdon)
By what percent does the volume of a cube increase when the length of each of its sides... (answered by Fombitz)
If the surface area of a shere is increased by 44%,find the percentage increase in its... (answered by Boreal)