Tecormier8560 Tecormier8560
  • 03-06-2020
  • Mathematics
contestada

The volume of a cone is cubic feet. Its height is 12 feet. Ashlyn is finding the area of the base of the cone. Her work is shown below.


Respuesta :

cristhiansanchez94 cristhiansanchez94
  • 04-06-2020

Answer:

Step-by-step explanation:

The volume of a cone of height h and a circular base of radius r is given by [tex]V=\frac{\pi r^2 h }{3}[/tex]. Note that [tex]\pi r^2[/tex] is the area of the base, therefore, if we want to find the area of the base we must multiply the equation by 3 and divide by h.  Hence

[tex]\pi r^2 = \frac{3V}{h}[/tex]

In this case, h=12. Given a value of V, we can find the area of the base

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