Respuesta :
The diameter of half the cone is equal to half of the given diameter and its height is also half the given height. Â Â Â Â Â Â Â Â Â Â Â Â Â
     V = 1/3(Ï€r²)(h)d = 1.5 inches, r = 0.75 inchesh = 2 inchesSubstituting,                   V = 1/3(Ï€)(0.75 in)²(2 in)                  Â
   V = 1.178 in³
Answer:
4.7in^3
Step-by-step explanation:
The volume of a cone is given by the formula:
[tex]V=\frac{\pi r^2h}{3}[/tex]
The given information is:
[tex]h=4in[/tex]
[tex]d=3in[/tex]
[tex]r=1.5in[/tex]
The cone is filled up to half, therefore the height at which the water peaks is 1/2 of 4 inches, which is 2in. Plug this information into the volume formula to get:
[tex]V=\frac{2\pi (1.5^)^2}{3}=4.7in^3[/tex]