josephtumo59
josephtumo59 josephtumo59
  • 10-10-2021
  • Mathematics
contestada

The surface area of a spherical ball is 2464cm².Calculate the diameter of the ball. Take /pi to be 22/7

Respuesta :

devishri1977
devishri1977 devishri1977
  • 10-10-2021

Answer:

Step-by-step explanation:

The surface area of a spherical ball =  2464cm²

[tex]\dfrac{4}{3}\pi r^{2}=2464\\\\\dfrac{4}{3}*\dfrac{22}{7}*r^{2}=2464\\\\r^{2}=2464*\dfrac{3}{4}*\dfrac{7}{22}\\\\= 28* 3 * 7\\\\ = 588\\r = \sqrt{588}\\\\r= 24.25 \ cm\\\\Diameter = 2*r = 2*24.25 = 48.5 \ cm[/tex]

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