Question

Find the surface area of the ball shown. Use 3.14 for pie.

Radius is 17cm

The ball has a surface area of about ? Cm^2

Answer 1

`\displaystyle S _{ \text{sphere}} =3629.84 {cm}^(2)`

Explanation:

we are given a ball

remember that,a ball is a Sphere

thus,

`\displaystyle S _{ \text{sphere}} = 4\pi {r}^(2)`

given that, redious is 17 cm

substitute:

`\displaystyle S _{ \text{sphere}} = 4 * \pi * {17}^(2)`

simplify square:

`\displaystyle S _{ \text{sphere}} = 4 * \pi * 289`

substitute the approximate value of π:

`\displaystyle S _{ \text{sphere}} = 4 * 3.14 * 289`

simplify multiplication:

`\displaystyle S _{ \text{sphere}} =3629.84`

hence, the surface area of the sphere is 3629.84 cm²