cutegamer2008
cutegamer2008 cutegamer2008
  • 14-05-2022
  • Mathematics
contestada

A cone has a volume of 37.68cm3. If the height of the cone is 9cm what is the radius of the cone's
base?
cm
Radius:
(Use 3.14)

Respuesta :

BellaIsMe10
BellaIsMe10 BellaIsMe10
  • 14-05-2022

Answer:

[tex]2cm[/tex]

Step-by-step explanation:

Volume of a cone= [tex]\pi r^2\frac{h}{3}[/tex]

Substitute: [tex]37.68cm^3=\pi r^2(\frac{9}{3})[/tex]

[tex]37.68cm^3=\pi r^2(3)[/tex]

[tex]37.68cm^3=\pi r^2(3)[/tex] Divide by 3

[tex]12.56cm=\pi r^2[/tex] Divide by pi

[tex]4cm=r^2[/tex]

[tex]r=\sqrt{4}[/tex]

[tex]r=2[/tex]

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