SOLUTION: An ice-cream cone has a volume of 112 cubic centimeters and a height of 12cm. Find the diameter of the cone to the nearest tenth if itis completely filled up to its height

Algebra ->  Volume -> SOLUTION: An ice-cream cone has a volume of 112 cubic centimeters and a height of 12cm. Find the diameter of the cone to the nearest tenth if itis completely filled up to its height      Log On


   

Question 1016635: An ice-cream cone has a volume of 112 cubic centimeters and a height of 12cm. Find the diameter of the cone to the nearest tenth if itis completely filled up to its height
Answer by FrankM(1040) About Me  (Show Source):
You can put this solution on YOUR website!
For a cone, volume equals 1/3 base times height. And base is pi*(radius squared)
112=%281%2F3%29%2A%283.1416%29%2A%28r%5E2%29%2A12
112%2A3%2A%281%2F3.1416%29%2A%281%2F12%29=%28r%5E2%29
%28r%5E2%29=8.91265
r=2.985

so d= 5.97 cm
Sorry, answer to nearest tenth is 6.0 cm