SOLUTION: radius of a sphere. the radius of a sphere is given by the forumua r=(0.75v/pi)^1/3. Where V is its volume. Find the radius of a spherical tank that has a volume of (32pi) / (3)

Algebra ->  Rational-functions -> SOLUTION: radius of a sphere. the radius of a sphere is given by the forumua r=(0.75v/pi)^1/3. Where V is its volume. Find the radius of a spherical tank that has a volume of (32pi) / (3)       Log On


   

Question 355197: radius of a sphere. the radius of a sphere is given by the forumua r=(0.75v/pi)^1/3. Where V is its volume. Find the radius of a spherical tank that has a volume of (32pi) / (3) cubic meters.
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
r=%280.75V%2Fpi%29%5E%281%2F3%29 and V+=+32%2Api%2F3
All we have to do is use the second equation, which tells us what V is, and substitute for V in the first equation:
r=%280.75%2832%2Api%2F3%29%2Fpi%29%5E%281%2F3%29
The pi's cancel and 3 divides into 0.75 0.25 times. This gives us:
r=%280.25%2A32%29%5E%281%2F3%29
Since 0.25*32 is 8:
r=%288%29%5E%281%2F3%29
Since 1/3 as an exponent means cube root and since 2%5E3+=+8:
r = 2