Respuesta :
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
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:
The volume of the sphere is = 2254 pi unit^3
The volume of sphere is given by :
[tex]\frac{4}{3}\pi r^{3}[/tex]
[tex]2254 pi =\frac{4}{3}\pi r^{3}[/tex]
[tex]r^{3}=\frac{3}{4}*2254[/tex]
[tex]r^{3}=1690.5[/tex]
r = 11.912
Now, surface area of the sphere is given as : [tex]4\pi r^{2}[/tex]
= [tex]4\times3.142\times11.912\times11.912[/tex]
= 1783.34 unit square.
Or if the answer is needed in pi form, then surface area is = 567.58 pi unit square.
