Final answer:
The volume of a cone can be calculated using the formula V = (1/3)πr^2h, where V is the volume, π is a mathematical constant approximately equal to 3.14, r is the radius of the base, and h is the height of the cone. In this case, the radius is given as 8 cm and the height is given as 6 cm. Plugging these values into the formula, we get: V = (1/3)π(8^2)(6) = 160π cm³ ≈ 502.65 cm³ (rounded to 1 decimal place).
Step-by-step explanation:
The volume of a cone can be calculated using the formula V = (1/3)πr^2h, where V is the volume, π is a mathematical constant approximately equal to 3.14, r is the radius of the base, and h is the height of the cone.
In this case, the radius is given as 8 cm and the height is given as 6 cm. Plugging these values into the formula, we get:
V = (1/3)π(8^2)(6) = 160π cm³ ≈ 502.65 cm³ (rounded to 1 decimal place).