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The volume of a sphere is given by the formula V = 4/3 * π * r^3, where r is the radius of the sphere.
For the bottom snowball with a radius of 3 ft:
V1 = 4/3 * π * 3^3 = 4/3 * π * 27 = 36π ft^3
For the middle snowball with a radius of 2 ft:
V2 = 4/3 * π * 2^3 = 4/3 * π * 8 = 32π ft^3
For the top snowball with a radius of 1 ft:
V3 = 4/3 * π * 1^3 = 4/3 * π * 1 = 4π ft^3
The total volume of the snowman is the sum of the volumes of the three snowballs:
Total volume = V1 + V2 + V3
Total volume = 36π + 32π + 4π
Total volume = 72π ft^3
Therefore, the total volume of the snowman is 72π ft^3.