northpolea
19.07.2019 •
Mathematics
Aregulation baseball must have a diameter between 2.87 and 2.94 inches. the surface area of a particular baseball is 9π square inches. is the baseball within the range of regulation size? explain your answer.
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Ответ:
The surface area of a circle can be found by this equation:
A = 4π (r²) , where A is surface area, and r is the radius.
Let's plug in 9π for A, and solve for the radius:
9π = 4π (r²) Divide both sides by 4π, the π's cancel out
9/4 = r²
Take the square root. Remember there's a square in the numerator and the denominator.
3/2 = r
r is equal to 3/2, or 1.5. Remember that the diameter is just the radius multiplied by 2.
d = 2r
d = (3/2) * 2 = 3
The diameter is 3, which is a bit higher than the range of regulation size. Therefore, the ball is not within range.
Ответ:
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