SOLUTION: Find the volume of a sphere that has a diameter of 9 meteres. Answers are multiple choice: a. 243 m^3 b. 486m^3 c. 121.5m^3 d. 972 m^3 So far I have V=4/3*pi*r^3

Algebra ->  Algebra  -> Volume -> SOLUTION: Find the volume of a sphere that has a diameter of 9 meteres. Answers are multiple choice: a. 243 m^3 b. 486m^3 c. 121.5m^3 d. 972 m^3 So far I have V=4/3*pi*r^3       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 165334: Find the volume of a sphere that has a diameter of 9 meteres.
Answers are multiple choice:
a. 243 m^3
b. 486m^3
c. 121.5m^3
d. 972 m^3

So far I have
V=4/3*pi*r^3
V=4/3*pi*(d/2)^3
V=4/3*pi*(9/2)^3
V=4/3*pi*(4.5)^3
v=4/3*pi*(91.125)
this is where I get lost because I do not get any of the answers listed
Found 2 solutions by ptaylor, Earlsdon:
Answer by ptaylor(1894) About Me  (Show Source):
You can put this solution on YOUR website!
Find the volume of a sphere that has a diameter of 9 meteres.
Answers are multiple choice:
a. 243 m^3
b. 486m^3
c. 121.5m^3
d. 972 m^3
So far I have
V=4/3*pi*r^3
V=4/3*pi*(d/2)^3
V=4/3*pi*(9/2)^3
V=4/3*pi*(4.5)^3
v=4/3*pi*(91.125)
this is where I get lost because I do not get any of the answers listed
v=4/3*3.14*(91.125)
v=(4.187)(91.125)
v=381.51 m^3
I THINK THAT YOU ARE RIGHT AND THE LISTED ANSWERS ARE WRONG!!!!
Hope this helps---ptaylor

Answer by Earlsdon(6098) About Me  (Show Source):
You can put this solution on YOUR website!
There is nothing wrong with your work!
I suspect that the answers given are all in terms of pi
If you work out your answer, but leave it in terms of pi, then you would get:
V+=+%284%2F3%29%2891.125%29%28pi%29
highlight%28V+=+121.5%28pi%29%29cubic meters, and you can see that answer c is shown as 121.5 cubic meters, so check the answers given to see if pi has been omitted.