WWKinzz8434 WWKinzz8434
  • 01-12-2018
  • Mathematics
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Find the volume of an ice cream cone bounded by the hemisphere

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remotecontrolbrain
remotecontrolbrain remotecontrolbrain
  • 01-12-2018

Answer:

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

Step-by-step explanation:

Let r denote the diameter of the hemisphere and h the height of the cone

[tex]V=V_{cone}+V_{hs}\\V_{cone}=\pi r^2 \frac{h}{3}\\V_{hs}=\frac{2}{3}\pi r^3\\V = \pi r^2 \frac{h}{3}+\frac{2}{3}\pi r^3=\frac{\pi r^2}{3}(h+2r)[/tex]

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