contestada


The numerical value of the volume of a sphere is equal to the numerical value of its surface area.
Find the exact value of the radius of this sphere.​

Respuesta :

Answer:

The radius of this sphere is [tex]3[/tex].

Step-by-step explanation:

The volume of a sphere of radius [tex]r[/tex] is:

[tex]\displaystyle V = \frac{4}{3}\, \pi\, r^{3}[/tex].

The surface area of a sphere of radius [tex]r[/tex] is:

[tex]A = \pi\, (2\, r)^{2}[/tex].

Equate the right-hand side of these two expressions and solve for [tex]r[/tex]:

[tex]r = 3[/tex].

In other words, the radius of this sphere is [tex]3[/tex].

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