Final answer:
The volume of the cone with a radius of 6 cm and a height of 25 cm is approximately 942 cm³.
Step-by-step explanation:
To find the volume of a cone, we can use the formula 1/3 π r² h, where π is approximately equal to 3.14, r is the radius, and h is the height. Given that the radius is 6 cm and the height is 25 cm, we can substitute these values into the formula:
Volume = 1/3 π (6 cm)² (25 cm)
Volume = 1/3 π (36 cm²) (25 cm)
Volume = 1/3 π (900 cm³)
Volume = 300 π cm³
Volume = 300 × 3.14 cm³
Volume = 942 cm³
Using the value of π as approximately 3.14, the volume of the cone is approximately 942 cm³.