The volume of a sphere is 2254 pi m^3 what is the surface area of the sphere to the nearest 10th

a. 831.4 m^2

b. 891.6 m^2

c. 1220.0 m^2

d. 1783.3 m^2

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