brentonkolivar
brentonkolivar brentonkolivar
  • 16-05-2020
  • Mathematics
contestada

Plane P cuts sphere o in a circle that has diameter
20. If the diameter of the sphere is 30, how far is the
plane from O?​

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 16-05-2020

Answer:

  5√5 ≈ 11.18 units

Step-by-step explanation:

The Pythagorean theorem can be used to find the unknown leg of a triangle with hypotenuse 15 and one leg 10:

  d = √(15^2 -10^2) = 5√(3^2 -2^2) = 5√5

The plane is 5√5 units from the center of the sphere.

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