Using the Pythagoras theorem, the slant height \(\ell\) is given by:
\begin{align*}
\ell = \amp \sqrt{8^2 + 10^2}\\
= \amp 12.80 \, \text{cm}
\end{align*}
Slant height \(\ell = 12.80\, \text{cm}\)
Finding the volume. \(V = \frac{1}{3}\pi h (r^2+ R^2 + Rr)\)
\begin{align*}
V = \amp \frac{1}{3} \times \frac{22}{7} \times 10\, \text{cm} \times (4^2 + 8^2 + (8\times 4))\, \text{cm} \\
= \amp \frac {22}{21} \times 10\, \text{cm} \times (16\, \text{cm}+64\, \text{cm}+32\, \text{cm}) \\
= \amp \frac{220}{21} \times 112\, \text{cm}^2\\
= \amp 1173.33 \, \text{cm}^3
\end{align*}
