Question

A company that manufactures storage bins for grains made a drawing of a silo. The silo has a conical base, as shown below.



What is the total volume of grains that can be stored in the silo?

58π ft3

40π ft3

23π ft3

36π ft3

Answer 1

Is the base square in that drawing?

Answer 2

I don't think so.

Answer 3

23 pi ft3

Answer 4

add volume of top cylinder of radius 2 and height 8.5
and
volume of bottom cone of radius 2 and height 4.5

Answer 5

Oh, they are saying the shape is like a hopper with a cone on the bottom. Now I get it. I was confused.

So we need to find the volume of the cylindrical section and the volume of the conic section at the bottom. The volume of the cylinder is given by \[V_{cylinder}=\pi r^2h\]where r is the radius and h is the height of the cylindrical part.

The volume of the cone is given by\[V_{cone}=\frac13 \pi r^2 h\]where h in this case is the height of the conical part.

Answer 6

Thanks!

Answer 7

You're welcome.