jimonkvng2169 jimonkvng2169
  • 25-02-2021
  • Mathematics
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consider a sphere which area (in square meters) equal to its volume (in cubic meters) what is the radius (in meters) of this sphere

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berno berno
  • 28-02-2021

Answer:

3 meters

Step-by-step explanation:

A sphere is a three-dimensional geometrical object.

Let r denotes radius of a sphere.

Area of a sphere = [tex]4 \pi r^2[/tex]

Volume of a sphere = [tex]\frac{4}{3}\pi r^3[/tex]

As a sphere which area (in square meters) is equal to its volume (in cubic meters) ,

[tex]4\pi r^2=\frac{4}{3}\pi r^3\\\\ r^2=\frac{r^3}{3}\\\\\frac{r^3}{r^2}=3\\\\[/tex]

r = 3 meters

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