First, let's find the height of the cylinder. Using the formula for lateral surface area, 2*π*r*h: 2*π*13*h = 325π (divide π by both sides) 26h = 325 h = 12.5 in.
Next, let's solve the surface area of the cylinder using the formula π*r²*h.
π * 13² * 12.5 = π * 169 * 12.5 = 2112.5π.
Next, let's solve the surface area using the formula 2πrh + 2πr².