Respuesta :

You must use the formula for  calculate the surface area of a sphere, which is:
 SA=4pir^2
 By using the information given in the problem shown above, you have:
 SA=4pir^2
 r=1 inch
 SA=4pi(1 inch)^2
 SA=13 in^2


The Surface Area (S.A) of a sphere can be calculated using the following formula:

[tex]S.A=4 \pi r^{2} [/tex]

here, r is the radius of the sphere. From the picture we can see that the diameter of the sphere is given to be 2 inches. Since radius is always half of the diameter, the radius of the sphere will be 1 inch.

Using the value of r we get:

[tex]S.A=4 \pi (1) ^{2}=4 \pi =13 [/tex]

Rounding to nearest inch, the surface area of the sphere will be 13 square inches.

So, option C is the correct answer
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