SOLUTION: The volume of a smaller sphere is 288 cm^3. Find the volume of a sphere who's radius is 3 times that of the smaller sphere. Thank you
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Question 1072572: The volume of a smaller sphere is 288 cm^3. Find the volume of a sphere who's radius is 3 times that of the smaller sphere. Thank you Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! Volume is a function of the cube of the radius. Triple the radius, and the volume increases 27-fold to
288*27=7776 cm^3
Can do it from first principles
V=(4/3)pi*r^3=288
216=pi*r^3
r^3=216/pi=68.75 cm^3
r=4.097
Triple the radius is 12.291
multiply that by (4/3)*pi*r^3=7778 cm^3. The difference is in the rounding. The 288 cm^3 is multiplied by 27, and that is the best answer.
