Answer:
[tex]484 {m}^{3} [/tex]
Step-by-step explanation:
applying Pythagorean theorem
[tex](7.1)^{2} + {x}^{2} = 14.6^{2} \\ then \\ {x}^{2} = 14.6^{2} - 7.1^{2} \\ {x}^{2} = 162.72 \\ x = \sqrt{162.72} \\ x = 12.7573m[/tex]
area of a cone :
[tex]\pi \: r(r + \sqrt{( {h}^{2} + {r}^{2} )} )[/tex]
substitute r and h
A =484.02
Answer:
484 m²
Step-by-step explanation:
The figure is composed of a circular end and a curved surface
area of circle = πr² ← r is the radius
A = π × 7.1² = 158.37 m²
area of curved surface = πrs ← s is the slant height
here s = 14.6, thus
A = π × 7.1 × 14.6 = 325.66 m²
Surface area = 158.37 + 325.66 ≈ 484 m²
