Respuesta :
The surface area of a sphere is given by the formula
.. A = 4π*r^2
.. A = 4π*(1.25 in)^2 ≈ 20 in^2
.. A = 4π*r^2
.. A = 4π*(1.25 in)^2 ≈ 20 in^2
It takes approximately 20 square inches of felt to cover a tennis ball.
Explanation
A tennis ball is in shape of a Sphere. As the outside of the ball is covered with felt, so we need to find the surface area of the ball.
Formula for surface area of sphere: [tex] A= 4\pi r^2 [/tex]
where, [tex] r [/tex] is the radius of the sphere.
Here the radius is given as 1.25 inch, so [tex] r=1.25 [/tex]
Thus,
[tex] A= 4\pi (1.25)^2\\ \\ A= 4(3.14)(1.5625)\\ \\ A= 19.625\\ \\ A= 20 (Approximately) [/tex]
So, it takes approximately 20 square inches of felt to cover a tennis ball.