The volume of a sphere is 2,254 pi m^3 what is the surface area of the sphere to the nearest tenth?

The answer is 567.4 π m².

The surface area of the sphere with radius r is: A = 4 π r²

The volume of the sphere with radius r is: V = 4/3 π r³

Step 1. Calculate the radius from the volume:

V = 4/3 π r³ = 2,254 π m³

r³ = (2,254 π) / (4/3 π)

r³ = 2,254 π/π * 3/4

r³ = 2,254 * 3/4

r³ = 1,690.5

r = ∛1,690.5

r = 11.91 m

Step 2. Calculate the surface area using the r:

A = 4 π r²

A = 4 π 11.91²

A = 567.4 π m²