A trash can is shaped like a cylinder. The radius of the trash can is 12 inches, and the height of the container is 31.5 inches. Which measurement is closest to the volume of the trash can in cubic inches? 2,375.04 in3 14,250.26 in3 57,001.06 in3 4,750.09 in3

Step-by-step explanation:

For a cylinder:

where v is the volume, r is the radius of the cylinder, and h is the height.

idk

step-by-step explanation:

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb