Respuesta :
Answer:
SA = 1,033.2 in²
Step-by-step explanation:
The formula for surface area of a sphere is
SA = 4π(r²) where r is the radius, and π is the constant pi
The radius is given as 9.07 and they say to use 3.14 for pi, so we substitute...
SA = 4(3.14)(9.07)
SA = 1,033.247144
SA = 1,033.2 rounded to the nearest tenth
The surface area of the basketball is 258.3 square inches.
What is surface area?
It is defined as the area of a three-dimensional body consisting of its all-faces area or in other words the total area occupied by the three-dimensional body.
We have a regulation-size women’s basketball has a diameter of 9.07 inches.
d = 9.07 inches
We know the surface area of the sphere:
[tex]\rm S = 4\pi R^2[/tex]
[tex]\rm S = 4\pi \times (4.535)^2[/tex] ( R = d/2 ⇒ 9.07/2 ⇒ 4.535 inches)
[tex]\rm S = 4\times 3.14\times 20.566[/tex]
S = 258.308 square inches ≈ 258.3 square inches
Thus, the surface area of the basketball is 258.3 square inches.
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