eviegarcia543
eviegarcia543 eviegarcia543
  • 21-06-2021
  • Mathematics
contestada

if the volume of a sphere is 36 pi cubic inches, what is the radius?​

Respuesta :

jimrgrant1 jimrgrant1
  • 21-06-2021

Answer:

r = 3 in

Step-by-step explanation:

The volume (V) of a sphere is calculate as

V = [tex]\frac{4}{3}[/tex]πr³ ( r is the radius )

Here V = 36π , then

[tex]\frac{4}{3}[/tex]πr³ = 36π ( multiply both sides by 3 to clear the fraction )

4πr³ = 108π ( divide both sides by 4π )

r³ = [tex]\frac{108\pi }{4\pi }[/tex] = 27 ( take the cube root of both sides )

r = [tex]\sqrt[3]{27}[/tex] = 3

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