#### Answer

r = 4 in.
slant height = 8 in.
h $\approx$ 6,9 ft

#### Work Step by Step

Slant height = 2 r
Total area = $\pi$ $r^{2}$ + $\pi$ r (slant height)
Total area = $\pi$ $r^{2}$ + $\pi$ r (2 r)
Total area = $\pi$ $r^{2} + 2 \pi$ $r^{2}$
Total area = 3 $\pi$ $r^{2}$
48 $\pi$ $in.^{2}$ = 3 $\pi$ $r^{2}$
$r^{2}$ = 16 $in.^{2}$
r = 4 in.
slant height = 8 in.
h = $\sqrt (slant height)^{2} - r^{2}$
h = $\sqrt 64 ft^{2} - 16 ft^{2}$
h $\approx$ 6,9 ft