Answer:
603.2 cubic inches
Explanation:
First, we need to find the radius of the cone, which is half of the diameter:
radius = 12 inches / 2 = 6 inches
Next, we can use the formula to find the volume of a cone:
V = (1/3)πr^2h
where V is the volume, π is pi (approximately 3.14), r is the radius, and h is the height.
Substituting in the values we have:
V = (1/3)π(6 inches)^2(16 inches)
V = (1/3)π(36 square inches)(16 inches)
V = (1/3)π(576 cubic inches)
V = 192π cubic inches
Rounding to the nearest tenth, the volume of the cone is:
V ≈ 603.2 cubic inches
Hopes this helps