Question

question 8(multiple choice worth 1 points)
(06 04 mc)
if a rectangle is rotated about the y - axis as shown below, what three - dimensional figure would be formed?
o rectangular prism
o cone
o cylinder
o square pyramid

Explanation:

Step1: Recall the properties of 3D - shapes formed by rotation

When a 2D - shape is rotated about an axis, different 3D - shapes are formed. A rectangle rotated about one of its sides (in this case, the y - axis which is like one of its vertical sides) forms a cylinder.

Step2: Analyze each option

• Square pyramid: A square pyramid is formed by rotating a right - triangle (not a rectangle) about one of its legs.
• Cone: A cone is formed by rotating a right - triangle about one of its legs.
• Rectangular prism: A rectangular prism is a 3D - shape with 6 rectangular faces and is not formed by rotation of a 2D - rectangle about an axis.
• Cylinder: A cylinder has two circular bases and a curved lateral surface. When a rectangle with height \(h\) and length \(l\) is rotated about one of its vertical sides (the \(y\) - axis in the coordinate system), the length of the rectangle forms the radius of the circular bases (\(r = l\)) and the height of the rectangle forms the height of the cylinder (\(h\)).

Answer:

Cylinder