Question

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

Answer 1

Answer:

$\displaystyle S _{ \text{sphere}} =3629.84 {cm}^{2}$

Step-by-step 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:

$\displaystyle S _{ \text{sphere}} = 4 \times \pi \times {17}^{2}$

simplify square:

$\displaystyle S _{ \text{sphere}} = 4 \times \pi \times 289$

substitute the approximate value of π:

$\displaystyle S _{ \text{sphere}} = 4 \times 3.14 \times 289$

simplify multiplication:

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

hence, the surface area of the sphere is 3629.84 cm²