KainiaLee KainiaLee
  • 16-02-2019
  • Mathematics
contestada

The volume of a cone is 15pi in3 . It's height is 7 in . what is it's base?​

Respuesta :

MrsStrong
MrsStrong MrsStrong
  • 24-02-2019

Answer:

Radius is 2.54 so its base is 5.08

Step-by-step explanation:

The volume of the cone is found using the volume formula for a cone [tex]V=\frac{1}{3}\pi r^2h[/tex].

Substitute V = 15pi and h=7.

[tex]V = \frac{1}{3}\pi r^2h\\ 15\pi = \frac{1}{3}\pi (r^2)(7)\\15=\frac{1}{3} r^2*7\\45 = 7r^2 \\6.42 = r^2 \\ 2.54 = r [/tex]

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