katelynb121519 katelynb121519
  • 09-04-2021
  • Mathematics
contestada

A party hat has a height of 8 inches and a radius
of 4 inches. What is the volume of the hat?

Respuesta :

rococo908
rococo908 rococo908
  • 09-04-2021

Answer:

134.04 inches³

Step-by-step explanation:

Use the cone volume formula: V = [tex]\pi[/tex]r²[tex]\frac{h}{3}[/tex]

Plug in the radius and height, then solve for the volume

V = [tex]\pi[/tex]r²[tex]\frac{h}{3}[/tex]

V = [tex]\pi[/tex](4²)[tex]\frac{8}{3}\\[/tex]

V = [tex]\pi[/tex](16)[tex]\frac{8}{3}\\[/tex]

V = 134.04

So, the volume of the hat is 134.04 inches³

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