Question 197466
What is x in the given surface area of a right cylinder? 
S=1000 cm2 
S=2(3.14)r2+2(3.14)h2 
h= x 
r= 8 ft 
-------------
{{{S=2(3.14)r^2+2(3.14)h^2}}}
{{{1000=2*(3.14)*8^2+2*(3.14)*h^2}}}
{{{1000/(2pi) = 64 + h^2}}}
{{{h^2 = (1000/(2pi)) - 64}}}
{{{h^2 = 95.155}}}
h = 9.755 cm
----------------- Using the eqn you gave.
The total surface area of a cylinder is 2 times the base, for top and bottom, + the cylindrical surface.
{{{A = 2*pi*r^2 + 2*pi*r*h}}} not h squared
{{{1000 = 2*pi*r*(r+h)}}}
{{{1000/(2*pi*r) = r+h}}}
1000/50.2655 = 8+h
h+8 = 19.89
h = 27.89 cm