Question

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

Answer 1

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