Respuesta :
Answer:
The area of the roof: ≈2287.44 ft^2, the lateral area of the roof:≈1580.58 ft^2
Step-by-step explanation:
The area of the roof is computed by the equation of the area of a cone:
A = πr(r + [tex]\sqrt{h^{2}+r^(2) }[/tex])
(r: radius, h: height, πr^2 is the area of the base of the cone, πr[tex]\sqrt{h^{2}+r^(2) }[/tex] is the lateral area of the cone). So:
A = [tex]15\pi (15 + \sqrt{30^{2} +15^{2} } )[/tex] ≈ 2287.44 ft^2.
As I stated earlier, the lateral area of the roof can be computed:
A[tex]L[/tex]=[tex]15\pi \sqrt{30^{2} +15^{2} }[/tex] ≈ 1580.58 ft^2.
