A leather ball has a diameter of 28.4 cm. Which is the area of the piece of leather used on the surface of the ball?
a 268.85 pi cm^2
b 806.56 pi cm^2
c 3226.24 pi cm^2
d 3817.72 pi cm^2

Respuesta :

Answer:

[tex]A=806.56\pi\ cm^2[/tex]

Step-by-step explanation:

Given that,

The diameter of a leather ball, d = 28.4 cm

Radius, r = 14.2 cm

We need to find the area of the piece of leather used on the surface of the ball. The surface area of the ball is given by :

[tex]A=4\pi r^2\\\\A=4\times \pi\times (14.2)^2\\\\A=806.56\pi\ cm^2[/tex]

So, the area of the piece of leather is [tex]806.56\pi\ cm^2[/tex]. The correct option is (b).

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