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A sphere has a volume of 764m^3.Find it's total surface area(TSA) and lateral surface area(LSA) .


[tex]\underline{\bf Note:-}[/tex]

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Respuesta :

mhanifa

Answer:

  • ≈ 404 m²

Step-by-step explanation:

Volume of a sphere:

  • V = 4/3πr³

LSA = TSA of a sphere:

  • S = 4πr²

We have V = 764 m³, find the radius:

  • 4/3πr³ = 764
  • r³ = (3*764/4π)
  • r³ = 182.39 (rounded)
  • r = √182.39
  • r = 5.67 m (rounded)

Find the surface area:

  • S = 4*π*(5.67)²
  • S = 404 m² (rounded)
HayabusaBrainly

[tex] \boxed{\tt{ \bold{Hello\:Mister\:Brainly!}}}[/tex]

____________

  • Step by step :

S = 4πr²

S = 4π × (V = 4/3πr³)²

S = 4π × (764 = 4/3 × 3,14 × r³)²

S = 4π × (764 × 3/4 = 3,14r³)²

S = 4π × (573 ÷ 3,14 = r³)²

S = 4π × (r³ ≈ 182,5)²

S = 4π × (r ≈ 5,67)²

S = 4 × 3,14 × 5,67²

S ≈ 404m²✔

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