SOLUTION: volume of sphere: 35 cubic cm, what is the radio?

Algebra ->  Bodies-in-space -> SOLUTION: volume of sphere: 35 cubic cm, what is the radio?      Log On


   

Question 1011129: volume of sphere: 35 cubic cm, what is the radio?
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
Volume of a sphere:
V+=+%284%2F3%29pi%2Ar%5E3
if V+=35cm%5E3, we have

35cm%5E3+=+%284%2F3%29pi%2Ar%5E3....solve for r

35cm%5E3%2F%28%284%2F3%29pi%29=r%5E3

%283%2A35cm%5E3%29%2F%284pi%29=r%5E3

%28105cm%5E3%29%2F%284pi%29=r%5E3

%2826.25cm%5E3%29%2Fpi=r%5E3

%2826.25cm%5E3%29%2F3.14=r%5E3

8.359872611464968cm%5E3=r%5E3

r=root%283%2C8.359872611464968cm%5E3%29

r=2.029550614485219cm-> exact solution

r=2cm-> approximate solution