Question

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

Answer 1

`A=806.56\pi\ cm^2`

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 :

`A=4\pi r^2\\\\A=4* \pi* (14.2)^2\\\\A=806.56\pi\ cm^2`

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