Answer :
The surface area of the sphere with a radius of 14 cm is approximately 2461.8 [tex]cm^{2}[/tex] when rounded to the nearest tenth.
To calculate the surface area of a sphere, we use the formula A = 4[tex]\pi r ^{2}[/tex] where A represents the surface area and r represents the radius. In this case, the given radius is 14 cm.
First, we square the radius: 14 cm × 14 cm = 196 [tex]cm^{2}[/tex].
Next, we multiply the squared radius by 4π: 196 [tex]cm^{2}[/tex] × 4π ≈ 2461.8 [tex]cm^{2}[/tex].
Since the question asks for the answer rounded to the nearest tenth, we round 2461.8 [tex]cm^{2}[/tex] to 2461.8[tex]cm^{2}[/tex].
Therefore, the surface area of the sphere with a radius of 14 cm is approximately 2461.8 [tex]cm^{2}[/tex].
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