Question

The volume of a sphere is 2254 pi ^3 what is the surface area of the sphere

Answer 1

The answer is 567.4 π m².
The surface area of the sphere with radius r is: A = 4 π r²The 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 m³r³ = (2,254 π) / (4/3 π)r³ = 2,254 π/π * 3/4r³ = 2,254 * 3/4r³ = 1,690.5r = ∛1,690.5r = 11.91 m
Step 2. Calculate the surface area using the r:A = 4 π r²A = 4 π 11.91²A = 567.4 π m²

Answer 2

The volume of the sphere is = 2254 pi unit^3

The volume of sphere is given by :

`(4)/(3)\pi r^(3)`

`2254 pi =(4)/(3)\pi r^(3)`

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

`r^(3)=1690.5`

r = 11.912

Now, surface area of the sphere is given as :
`4\pi r^(2)`

=
`4*3.142*11.912*11.912`

= 1783.34 unit square.

Or if the answer is needed in pi form, then surface area is = 567.58 pi unit square.