Answer
$\dfrac{49 \pi}{3}$
Work Step by Step
The formula to determine the surface area is as follows:
$S= \int_{m}^{n} 2 \pi y \sqrt {1+(\dfrac{dy}{dx})^2}$
and $S=\int_{1}^{5} \pi \sqrt {4x+5} dx \\= \dfrac{\pi}{6} [(4x+5)^{3/2}]_{1}^{5} \\=\dfrac{49 \pi}{3}$
