The nine-banded armadillo is a relatively recent addition to Texas. It can jump 3-4 feet and grows to about 15-23 inches from the neck to the base of the tail. Some armadillos roll up into a ball when
frightened. The spherical shape can be used to show that the function / = V6TV relates
the length /
of the armadillo (in inches) to its volume V hin cubic inches). Suppose you measure the length of an
armadillo as 18 inches. Find the volume of the armadillo to the nearest cubic inch.