menningsandra menningsandra
  • 23-05-2021
  • Mathematics
contestada

Surface area of a sphere with a volume of 2254

Respuesta :

Ibrahimlegend Ibrahimlegend
  • 23-05-2021

ANSWER :

By definition. The volume of the sphere is:

V = (4/3) * (pi) * (r ^ 3)

Where,

r: radius of the sphere.

Substituting values:

2254 pi = (4/3) * (pi) * (r ^ 3)

Clearing the radio we have:

r ^ 3 = (3/4) * (2254)

r = ((3/4) * (2254)) ^ (1/3)

r = 11.91255883

Then, the surface area is:

A = 2 * pi * r ^ 2

Substituting values:

A = 2 * 3.14 * (11.91255883) ^ 2

A = 891.6 m ^ 2

Answer:

The surface area of the sphere is:

b. 891.6 m ^ 2

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