samanthamunevar
samanthamunevar samanthamunevar
  • 04-03-2018
  • Mathematics
contestada

Austin is using a funnel shown to fill a glass bottle with colored sand Estimate the volume of the funnel number 21 please

Austin is using a funnel shown to fill a glass bottle with colored sand Estimate the volume of the funnel number 21 please class=

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sqdancefan
sqdancefan sqdancefan
  • 04-03-2018
The volume of a frustum of a cone is given by
.. V = (1/3)*π*h*(R^2 +r^2 +R*r)
We will assume the diameter at the bottom is 1 1/2 inch. Then the slanted part has volume
.. V = (1/3)*π*4*(2.5^2 +.75^2 +2.5*.75) ≈ 36.39 . . . . in^3

The volume of the 1-inch cylinder at the bottom is
.. V = π*(1/2)^2*1 = π/4 ≈ 0.79 . . . . in^3

Then the total volume of the cone is approximately 37.18 in^3.
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