Answer
= 648 $\pi$ $cm^{2}$ $\approx$ 2035.8 $cm^{2}$
Work Step by Step
Base area = $\pi$ $r^{2}$
Base area = 144 $\pi$ $cm^{2}$
Lateral area = 2 $\times$ $\pi$ $\times$ r $\times$ h
Lateral area = 2 $\times$ $\pi$ $\times$ 12 cm $\times$ 15 cm
Lateral area = 360 $\pi$ $cm^{2}$
Total area = 2 $\times$ base area + lateral area
Total area = 2 $\times$ 144 $\pi$ $cm^{2}$ + 360 $\pi$ $cm^{2}$
Total area = 648 $\pi$ $cm^{2}$ $\approx$ 2035.8 $cm^{2}$