Final answer:
The total volume of snow used to make the snowman is approximately 1512.15 cubic inches.
Step-by-step explanation:
To find the total volume of snow used to make the snowman, we need to calculate the volume of each section (head, middle, and bottom) and then add them together.
The volume of a sphere (the head) can be calculated using the formula V = (4/3)(πr³), where r is the radius. Since the head is 12 inches wide, the radius is half of that, which is 6 inches. Plugging this value into the formula, we get V = (4/3)(π)(6³) ≈ 904.78 cubic inches.
The volume of a cone (the middle) can be calculated using the formula V = (1/3)(πr²h), where r is the radius and h is the height. The radius of the middle section is half of the width, which is 8 inches. The height of the middle section is 16 - 12 = 4 inches. Plugging these values into the formula, we get V = (1/3)(π)(8²)(4) ≈ 268.08 cubic inches.
The volume of a cone (the bottom) can be calculated using the same formula. The radius of the bottom section is half of the width, which is 9 inches. The height of the bottom section is 18 - 16 = 2 inches. Plugging these values into the formula, we get V = (1/3)(π)(9²)(2) ≈ 339.29 cubic inches.
To find the total volume, we add the volumes of the head, middle, and bottom sections: 904.78 + 268.08 + 339.29 ≈ 1512.15 cubic inches.