Question

Question #23b0f

Answer 1

This is a volume problem using a truncated cone .

Explanation:

If you invert the flower pot upside down, you get a truncated cone:

The solution to the problem is to find the volume of the outer cone then subtract the volume of the inner cone.

The difference between the two cones is the 3 inch thick uniform wall.

There is a formula for the volume of a truncated cone:

`V = 1/3pih(r_1^2+r_2^2+r_1*r_2)`

Source: http://keisan.casio.com/exec/system/1223372110

Where, `r_1=`radius of bottom and `r_2=`radius of top

Volume of outer truncated cone:

`V = 1/3pi12(9^2+6^2+9*6)=2148.849375` cu in

Volume of inner truncated cone (subtract the 3" wall from each dimension):

`V = 1/3pi9(6^2+3^2+6*3)=593.7610115` cu in

Volume of material (one pot) :
`V=2,148.849375-593.7610115=1555.0883635` cu in

Finally, Volume of 1000 pots :

Answer `=1000*1555.0883635=1,555,088` cu in
`~~900` cubic feet of material

Hope that helped