SOLUTION: PLEASE PLEASE PLEASE HELP ME! IT'S DUE IN 5 HOURS ONLINE! THANKS! The volume of a cone is 195 in3. Find a function that models the height h of the cone in terms of its radius r.

Algebra ->  Volume -> SOLUTION: PLEASE PLEASE PLEASE HELP ME! IT'S DUE IN 5 HOURS ONLINE! THANKS! The volume of a cone is 195 in3. Find a function that models the height h of the cone in terms of its radius r.      Log On


   

Question 156632: PLEASE PLEASE PLEASE HELP ME! IT'S DUE IN 5 HOURS ONLINE! THANKS!
The volume of a cone is 195 in3. Find a function that models the height h of the cone in terms of its radius r.
h=
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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he volume of a cone is 195 in3. Find a function that models the height h of the cone in terms of its radius r.
:
The cone volume formula: V = %281%2F3%29pi%2Ar%5E2%2Ah
:
In this problem:
%281%2F3%29pi%2Ar%5E2%2Ah = 195
:
Multiply both sides by 3:
pi%2Ar%5E2%2Ah = 3(195)
:
pi%2Ar%5E2%2Ah = 585
:
Divide both side by pi%2Ar%5E2
h = 585%2F%28%28pi%2Ar%5E2%29%29