lfadke4446 lfadke4446
  • 23-12-2021
  • Mathematics
contestada

Given a ball with a diameter of 38 inches, how much fabric would be needed to cover the surface?

Respuesta :

goddessboi goddessboi
  • 23-12-2021

Answer:

[tex]27436\pi[/tex] square inches

Step-by-step explanation:

Since we are covering the surface of the ball, we need to determine the ball's surface area.

Assuming the ball to be a sphere, its surface area would be [tex]A=4\pi r^2[/tex] where [tex]r[/tex] is the radius.

Since the diameter is twice the radius, then the radius of the ball is 19 inches.

Therefore, the surface area of the ball is [tex]A=4\pi (19)^3=4\pi(6859)=27436\pi[/tex] square inches.

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