Use the following information to answer the next question
LEGEND:
\[
\begin{array}{l}
a=8 m \\
b=3 m
\end{array}
\]
14. Determine the surface area of the right cone shown, to the nearest square metre, assuming the cone is closed.
$70 m^{2}$
$98 m^{2}$
$81 m^{2}$
$109 \mathrm{~m}^{2}$
Answer
Final Answer: The surface area of the right cone, to the nearest square meter, is \(\boxed{109}\) square meters.
Step 1 ：Given that the height (a) of the cone is 8m and the radius (b) is 3m.
Step 2 ：The formula for the surface area of a cone is \(\pi r(r + \sqrt{h^2 + r^2})\), where r is the radius and h is the height.
Step 3 ：Substitute the given values into the formula: \(\pi * 3(3 + \sqrt{8^2 + 3^2})\).
Step 4 ：Calculate the surface area to get approximately 108.8 square meters.
Step 5 ：Round this value to the nearest whole number to get 109 square meters.
Step 6 ：Final Answer: The surface area of the right cone, to the nearest square meter, is \(\boxed{109}\) square meters.
