SOLUTION: The volume of a sphere is a function of the radius of the sphere. Write a function for the volume of a ball. Evaluate the function for a volleyball of radius 10.5.

Algebra ->  Algebra  -> Functions -> SOLUTION: The volume of a sphere is a function of the radius of the sphere. Write a function for the volume of a ball. Evaluate the function for a volleyball of radius 10.5.      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 156444: The volume of a sphere is a function of the radius of the sphere. Write a function for the volume of a ball. Evaluate the function for a volleyball of radius 10.5.
Found 2 solutions by Earlsdon, gonzo:
Answer by Earlsdon(6103) About Me  (Show Source):
You can put this solution on YOUR website!
The formula for the volume of a sphere (ball) of radius r is:
V+=+%284%2F3%29pi%2Ar%5E3
If r = 10.5, then the volume, V, is, using 3.14+=+pi as an approximation:
+V+=+%284%2F3%29%2Api%2A%2810.5%29%5E3
V+=+%284%2F3%29%283.14%29%281157.625%29
V+=+4846.59cubic units. This is the volume of the volley ball.

Answer by gonzo(654) About Me  (Show Source):
You can put this solution on YOUR website!
v = 4/3 * pi * r^3
pi = constant of 3.141592654 (from calculator)
r = radius
if radius = 10.5 inches then volume of the volleyball would be ...
4/3 * pi * (10.5)^3
= 4/3 * pi * 1157.625 cubic inches
= 4/3 * 3.141592654 * 1157.625 cubic inches
= 4849.048261 cubic inches.
= 4849 cubic inches rounded to nearest integer.