The total surface area of the figure is 163.362 in²
How to find the surface area of the figure
The total surface area of the figure is gotten using the formula
= curved surface area of hemisphere + curved surface area for cone
curved surface area of hemisphere
= 2πr²
= 2 * π * 2
= 12.566 in²
curved surface area for cone
= πr²l
= π * 2² * 12
= 150.796 in²
total surface area
= 12.566 in² + 150.796 in²
= 163.362 in²