Final answer:
The volume of the cone with a radius of 9 cm and a height of 13 cm can be calculated using the formula V = (1/3)πr²h, resulting in 351π cm³ or approximately 1102.9 cm³.
Step-by-step explanation:
The volume of a cone can be found using the formula V = (1/3)πr²h, where V is the volume, r is the radius of the base, and h is the height of the cone. In this instance, the radius (r) is given as 9 cm and the height (h) as 13 cm. Plugging these values into the formula, we get:
V = (1/3)π(9 cm)²(13 cm)
= (1/3)π(81 cm²)(13 cm)
= π(27 cm²)(13 cm)
= 351π cm³
Therefore, the volume of the cone is 351π cm³ or approximately 1102.9 cm³ when π is approximated to 3.142.