Question 264173
If a can of coke contains 12 fluid ounces and the diameter of the can is 2.375 in., then what is the height of the can?
 (one fluid ounce equals approximately 1.8 cu/in.)
:
Find the cubic inches of the can
12 * 1.8 = 21.6 cu/in
:
Volume of a cylinder {{{pi*r^2*h}}} = V
:
Find the radius:
2.375/2 = 1.1875 in
:
{{{pi*1.1875^2*h}}} = 21.6
{{{pi*1.41*h}}} = 21.6
:
4.43h = 21.6
h = {{{21.6/4.43}}}
h = 4.876 inches is the height
:
:
Check on calc enter (pi*1.1875^2*4.876)/1.8 = 12.00 oz