Final answer:
To find the volume of a right circular cone, you can use the formula V = (1/3)πr²h, where r is the radius of the base and h is the height of the cone. Given the dimensions of the cone, substitute the values into the formula to find the volume.
Step-by-step explanation:
To find the volume of a right circular cone, we can use the formula V = (1/3)πr²h, where r is the radius of the base and h is the height of the cone.
Given that the height of the cone is 10.7 in and the base has a diameter of 8.1 in, we can calculate the radius of the base by dividing the diameter by 2. So the radius is 4.05 in.
Now we can substitute the values into the formula to find the volume: V = (1/3)π(4.05 in)²(10.7 in) ≈ 180.96 in³.