Question 203829
A cylinder can of cleaner holds 1 liter of liquid.
 What is its height if the diameter of the base is 10 cm.
:
Change 1 liter to cu/cm: 1 liter = 1000 cu/cm
:
Volume of a cylinder: V = {{{pi*r^2*h}}}
Find the radius: a 10 cm diameter = 5 cm radius
:
{{{pi*5^2*h}}} = 1000
:
{{{pi*25*h}}} = 1000
:
h = {{{1000/(25*pi)}}}
h = 12.73 cm is the height
:
:
Check solution on a calc: enter pi*5^2*12.73 = 999.8 ~ 1000, which is 1 liter