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find the surface area of the figure below​

Find The Surface Area Of The Figure Below class=

Sagot :

Dead3illidn

Answer:

310.8m²

Step-by-step explanation:

GIVEN :-

  • Diameter = 9m ⇒ Radius (r) = 9/2 = 4.5m
  • Slant height (l) = 13m

TO FIND :-

  • Surface area of the whole figure.

FORMULAES TO KNOW BEFORE SOLVING :-

  • Curved surface area of cone = [tex]\pi rl[/tex] (where r = radius & l = slant height)
  • Curved surface area of hemisphere = [tex]2\pi r^2[/tex] (where r = radius)

PROCEDURE :-

In the figure , the cone is mounted on a hemisphere.

⇒ Radius of cone = Radius of hemisphere = 4.5m

Total surface area of the figure = Curved surface area of both cone & hemisphere.

⇒

  • Curved surface area of cone = [tex]\pi rl = 3.14 \times 4.5 \times 13 = 183.69m^2[/tex] ≈ 183.7m²
  • Curved surface area of hemisphere = [tex]2\pi r^2 = 2 \times 3.14 \times (4.5)^2 = 127.17m^2[/tex] ≈  127.1m²

∴ Total surface area = 183.7 + 127.1 = 310.8m²

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