Question 970086
Surface area of cylinder = area of bases (2(pi)r^2)+area of sides (circumference x height=2(pi)rh and h=r so:
{{{SA=2(pi)r^2+2(pi)r^2}}}={{{4(pi)r^2}}}
.
{{{4(pi)r^2=576(pi)cm^2}}} Divide each side by 4(pi)
{{{r^2=144cm^2}}} Find the square root of each side.
{{{r=12 cm}}}
Diameter=2(radius)=2(12cm)=24 cm
ANSWER: The diameter is 24 centimeters.