SOLUTION: Given a soda can with a volume of 36 and a diameter of 4, what is the volume of a cone that fits perfectly inside the soda can? (Hint: only enter numerals in the answer blank).

Algebra ->  Surface-area -> SOLUTION: Given a soda can with a volume of 36 and a diameter of 4, what is the volume of a cone that fits perfectly inside the soda can? (Hint: only enter numerals in the answer blank).       Log On


   

Question 967405: Given a soda can with a volume of 36 and a diameter of 4, what is the volume of a cone that fits perfectly inside the soda can? (Hint: only enter numerals in the answer blank).

I dont understand this one :((
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Find the height or how tall the soda can. Use formula for volume of cone to directly calculate volume of the cone which has same diameter and height of the can.

Volume for cylinder formula: v=h%2Api%2A%28d%2F2%29%5E2

Volume for cone formula: v=%281%2F3%29h%2Api%2A%28d%2F2%29%5E2

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

Given a soda can with a volume of 36 and a diameter of 4, what is the volume of a cone that fits perfectly inside the soda can?
Just be reminded that volume of cone is 1%2F3 of the volume of a cylinder.
So, that is 1%2F3 of 36.
the volume of cone is %281%2F3%2936=36%2F3=12