SOLUTION: The circumference of a sphere is 46 \pi46π​ cm. What is the volume of the sphere?

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: The circumference of a sphere is 46 \pi46π​ cm. What is the volume of the sphere?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1194007: The circumference of a sphere is 46 \pi46π​ cm. What is the volume of the sphere?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

I read your problem this way 

    "The circumference of a great circle of a sphere is 46π​ cm. 
     What is the volume of the sphere?"


                        Solution 


From the "given" part, the radius of the sphere is  R = %2846pi%2F2pi%29 = 23 cm.


Hence, the volume of the sphere is


    V = %284%2F3%29pi%2AR%5E3 = %284%2F3%29%2A3.14%2A23%5E3 = 50939.17  cm^3  (rounded).    ANSWER

Solved.