bailidayan9831 bailidayan9831
  • 17-01-2022
  • Mathematics
contestada

An ice cream cone has height of 6 inches and a diameter of 2 inches what is the volume in cubic inches of the ice cream


A 24

B 6

C 2

D 8

Respuesta :

jdoe0001 jdoe0001
  • 17-01-2022

keeping in mind that radius is half the diameter, we know this cone has a diameter of 2 inches, so it has a radius of 1 inch, kinda small really for ice-cream, but anyhow.

[tex]\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=1\\ h=6 \end{cases}\implies V=\cfrac{\pi (1)^26}{3}\implies V=2\pi \implies \underset{\textit{rounded up}}{V\approx 6}[/tex]

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