Answer
8.99 feet
Work Step by Step
$h = 52$ inches
$52/12 = 13/3$ (converting from inches to feet)
$V=\pi*r^2*h$
$1100 = \pi * r^2 * 13/3$
$1100*3/13 = \pi * r^2 * 13/3 * 3/13$
$3300/13 = \pi * r^2$
$3300/13*\pi = \pi * r^2/\pi$
$3300/13*\pi = r^2$
$\sqrt {3300/13*\pi} = \sqrt {r^2}$
$r = \sqrt {3300/13*\pi}$
$r = \sqrt {3300/40.8395}$
$r = \sqrt {80.804}$
$r = ± 8.99$
We can't have a negative radius, so we have a radius of 8.99 feet.