kericontreras kericontreras
  • 23-04-2020
  • Mathematics
contestada

Find the surface area of a ping-pong ball if the diameter of the ping pong ball is 1.4882 inches round your answer to the nearest hundredth

Respuesta :

elcharly64
elcharly64 elcharly64
  • 29-04-2020

Answer:

[tex]SA=6.96\ in^2[/tex]

Step-by-step explanation:

Surface Area

Given a sphere of radius r, the formula to compute its surface area is

[tex]SA=4\pi r^2[/tex]

The ping-pong ball (assumed as a sphere) has a diameter

[tex]d=1.4882\ inches[/tex]

Since the diameter is twice the radius, then

[tex]r=d/2=1.4882\ inches/2=0.7441\ inches[/tex]

Thus, the surface area is

[tex]SA=4\pi\cdot 0.7441^2[/tex]

[tex]\boxed{SA=6.96\ in^2}[/tex]

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