Question 395597
a cubic ft of water weighs about 62.4 pounds.
what must be the diameter of a cylindrical pail 1ft. high
 in order for it t hold the water from 25 pounds of ice
:
Find the volume of 25 lb of water
V = {{{25/62.4}}}
V = .4 cu/ft
Which is .4(1728) = 691.2 cu/inches
:
Find the radius (in inches)of a cylinder that will hold 691.2 cu/in of water
{{{pi*r^2*12}}} = 691.2
r = {{{sqrt(691.2/(12*pi))}}}
r = 4.282 inches
d = 8.564 inches is the diameter,
:
how many square inches of sheet tin required t make the pan?(neglect waste in cutting and lapping)
Find the surface area of an open top cylinder (height is 12")
SA = {{{pi*r^2}}} + {{{2*pi*r*h}}}
SA = {{{pi*4.282^2}}} + {{{2*pi*4.282*12}}}
SA = 57.60 + 102.77
SA = 160.37 sq/inches of tin