Answer:
The surface area = 320.442450666159 mi²
Step-by-step explanation:
Formula : ( surface area of a cone )_________________________
The total surface area = The curved surface area + area of the base
____________________________________________________
→The curved surface area = π × r × g = π × r × (√(h2 + r2))
where g is the slant height of the cone and r is the radius of the base
and h is the height of the cone
and g = √(h2 + r2)
→Area of the base = π × r²
We get :
The curved surface area = π × r × (√(h2 + r2))
= π × 5.1 × √(14^2+(5.1)^2)
= 238.729625746288
Area of the base = π × r²
= π × (5.1)^2
= 81.712824919871
Conclusion:
The total surface area = The curved surface area + area of the base
= 238.729625746288 + 81.712824919871
= 320.442450666159
