Question

The volume of a sphere is 2,098 pi m^3 what is the surface area of the sphere to the nearest tenth?

Answer 1

Answer:

3139.5 m²

Step-by-step explanation:

the formula for the volume of a sphere of radius r is V = (4/3)πr³.  In this particular case, V = 2098π m³ = (4/3)πr³, and from this we can calculate the radius, r:

       2098π m³

r³ = -----------------  =  (3/4)(2098 = 1483/5

       (4/3)π

Thus r = ∛1573.5 m³ =  11.64 m

Then the surface area is A = 4πr², which in this case is

A = 4(3.14159)(11.64 m)^2 = 1702.6 m² (which is to the nearest tenth).