gabriellarussell45
gabriellarussell45 gabriellarussell45
  • 11-04-2022
  • Mathematics
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The volume of a​ cone-shaped hole is 147 pi ft3 If the hole is 9 ft deep, what is the radius of the​ hole?

Please help!!

Respuesta :

fieryanswererft
fieryanswererft fieryanswererft
  • 11-04-2022

radius : 3.95 ft

[tex]\sf volume \ of \ cone: \dfrac{1}{3} \pi r^2h[/tex]

[tex]\hookrightarrow \sf \dfrac{1}{3} \pi r^2(9) = 147[/tex]

[tex]\hookrightarrow \sf r^2 = \dfrac{147*3}{\pi (9)}[/tex]

[tex]\hookrightarrow \sf r = \sqrt{\dfrac{147*3}{\pi (9)}}[/tex]

[tex]\hookrightarrow \sf r = 3.95 \ ft[/tex]

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