Here are the correct answers for each question:
Question 1
The two-dimensional shape formed by a horizontal cross section of a cube is:
a square
Question 2
The two-dimensional shape of the horizontal cross section of an Olympic swimming pool (which is in the shape of a rectangular prism) is:
a rectangle
Question 3
When triangle ABC with vertices A(0,0), B(3,5), and C(0,5) is rotated about side CB, the three-dimensional object formed is:
a cone with a diameter of 6 units and a height of 3 units
(Note: the diameter is the length of side AB, which is √((3-0)² + (5-5)²) = 3, and since there are two identical sides, the diameter can be considered as twice that value.)
Question 4
Isolating one-quarter of a circle in Quadrant III and rotating that quarter about the x-axis forms:
a sphere
Question 5
An isosceles right triangle with legs measuring 4 inches, when rotated about one of its legs, forms:
a cone with a diameter of 4 inches (since the radius is half the diameter = 4/2 = 2 inches)
Please verify the answer to question 3, as my interpretation of the diameter calculation based on the given coordinates may differ.