Question 1022492
A circular cylinder is circumscribed about a right prism having a square base of one meter on an edge. The volume of a cylinder is 6.283 cubic m.
 Find its altitude in meters 
:
The hypotenuse of the square base of the prism = the diameter (d) of the base of the cylinder.
d = {{{sqrt(1^2 + 1^2)}}}
d = {{{sqrt(2)}}}
the radius of the cylinder
r = {{{sqrt(2)/2}}}
The volume of the cylinder, 
h = the altitude of the cylinder
{{{pi*(sqrt(2)/2)^2* h = 6.283}}}
divide both sides by pi
{{{(sqrt(2)/2)^2* h = 2}}}
{{{(2/4)* h = 2}}}
.5h = 2
h = 2/.5
h = 4 meters is the altitude of the cylinder