Answer:
91.8 m²
Step-by-step explanation:
Bottom circle ([tex]\pi r^2[/tex]):
[tex]\pi[/tex] × 1² = [tex]\pi[/tex]
[tex]\pi[/tex] m²
Curved surface area of cylinder ([tex]2\pi rh[/tex]):
2[tex]\pi[/tex]×1×13 = 26[tex]\pi[/tex] m²
Curved surface area of cone ([tex]\pi rl[/tex], where [tex]l[/tex] is the slant height):
Use Pythagoras for slant height: [tex]\sqrt{2^2 + 1^2}[/tex] = [tex]\sqrt{5}[/tex]
[tex]\pi[/tex]×1×[tex]\sqrt{5}[/tex] = [tex]\pi \sqrt{5}[/tex] m²
Total:
[tex]\pi[/tex] + 26[tex]\pi[/tex] + [tex]\pi \sqrt{5}[/tex] = 91.8 m²
