SOLUTION: if a cylinder has a height of 5cm and a volume of 600ml calculate the radius of the base!! help

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Question 753166: if a cylinder has a height of 5cm and a volume of 600ml calculate the radius of the base!! help
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
NOTE:
One milliliter (1 mL) is the same as one cubic centimeter (1 cc or 1cm%5E3
THE FIFTH GRADER WAY:
cylinder_volume+=+base_area%2Aheight
If the volume is 600 cm%5E3 and the height is 5 cm,
then the area of the base (in square centimeters must be 600%2F5=120
The area of a circle is 2pi%2Aradius%5E2, so if the area of the base is 120cm%5E2,
then it must be radius%5E2=120%2F2pi=60%2Fpi=approx19.0986
and highlight%28radius=sqrt%2860%2Fpi%29=approx4.37%29

FLAUNTING YOUR ALGEBRA KNOWLEDGE:
system%28cylinder_volume+=+base-area%2Aheight%2Cbase-area=2pi%2Aradius%5E2%29 --> cylinder_volume+=+2pi%2Aradius%5E2%2Aheight --> radius%5E2=cylinder_volume%2F2pi%2Fheight --> radius=sqrt%28cylinder_volume%2F2pi%2Fheight%29
radius=sqrt%28600%2F2pi%2F5%29 --> highlight%28radius=sqrt%2860%2Fpi%29%29 or highlight%28radius=approx4.37%29