Answer: The circumference of the smaller circular base of the cone can be found using the formula:
C = 2 * π * r
where "r" is the radius of the circle. The radius can be found using the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side (the hypotenuse).
Since the cut plane is parallel to the base of the cone, the height of the cone and the height of the remaining section of the cone are equal. Let's call this height "h". Then, using the Pythagorean theorem, we have:
r^2 + (h/2)^2 = (h/2)^2
Simplifying, we get:
r^2 = (h/2)^2
Taking the square root of both sides:
r = h/2
Substituting "h/2" for "r" in the formula for the circumference:
C = 2 * π * (h/2) = π * h
Since we do not have a specific value for "h", we cannot find an exact value for the circumference. However, based on the given options, the closest approximate value to π * h is c) 3.36 feet.
Explanation: