Remember the volume of a cylinder is \(\pi r^2 h\).

\(\text{volume of a cone} = \frac{1}{3} \pi r^2 h\)

\(\text{curved surface area} = \pi \times r \times l\)

\(l\) is the slanted height.

\(\text{total surface area of a cone} = \pi r^2 + \pi r l\)

\(\begin{array}{rcl} \text{Volume} & = & \frac{1}{3} \pi r^2 h \\ & = & \frac{1}{3} \times \pi \times 3^2 \times 4 \\ & = & 37.7~\text{cm}^3 \end{array}\)

\(\begin{array}{rcl} \text{Total surface area} & = & \pi r^2 + \pi r l \\ & = & (\pi \times 3^2) + (\pi \times 3 \times 5) \\ & = & 75.4~\text{cm}^2 \end{array}\)