A funnel is made up of a partial cone and a cylinder as shown in the figure. The maximum amount of liquid that can be in the funnel at any given time is 16.59375π cubic centimeters. Given this information, what is the volume of the partial cone that makes up the top part of the funnel?

15.75π cm3

17.25π cm3

16.33π cm3

12.5π cm3

Question

A funnel is made up of a partial cone and a cylinder as shown in the figure. The maximum amount of liquid that can be in the funnel at any given time is 16.59375π  cubic centimeters. Given this information, what is the volume of the partial cone that makes up the top part of the funnel?


15.75π  cm3


17.25π   cm3


16.33π   cm3


12.5π   cm3

anonymous · Answer

The dimensions are 1.5 base, 1.5 beside the base 4 cm height it looks like and 6cm on the top of the circle

michele_laino · Answer

please can you make a drawing of your funnel?

anonymous · Answer

How ? It's like 
      6cm
      4cm
1.5  1.5

anonymous · Answer

The 6cm is at the top of the circle

michele_laino · Answer

|dw:1434260848319:dw|
like that?

anonymous · Answer

Yes there's a 1.5 inside the square and on the outside

michele_laino · Answer

please place your measures on my drawing

anonymous · Answer

6cm in the circle 4cm in the middle, 1.5 in the square and 1.5 on the left side of the square

michele_laino · Answer

|dw:1434261034237:dw|

michele_laino · Answer

am I right?

anonymous · Answer

Yes

anonymous · Answer

You need another 1.5 on the side of the 1.5

michele_laino · Answer

ok!  the general formula for volume of a partial cone like this:
|dw:1434261300118:dw|
is:
$$V = \left\{ {\left( {{R^2} + {r^2}} \right) + \sqrt {R \times r} } \right\}\frac{{\pi h}}{3}$$

michele_laino · Answer

like this:
|dw:1434261500243:dw|