Final answer:
To find the volume of the cone, use the formula V = πr²h, where V is the volume, r is the radius, and h is the height. Plugging in the given values of height and diameter, the volume is approximately 196.3 cm³.
Step-by-step explanation:
To find the volume of the cone, we can use the formula V = πr²h, where V is the volume, r is the radius, and h is the height. In this case, the height is 10 cm and the radius is half of the diameter, which is 5/2 cm or 2.5 cm. Plugging these values into the formula, we get V = 3.142 × (2.5 cm)² × 10 cm = 196.25 cm³. Rounded to the nearest tenth, the volume is 196.3 cm³.