Question

rotating a rectangle
through which points should a line of rotation be placed to create a cylinder with a radius of 3 units?
e and j
f and i
j and g
g and e

Explanation:

Step1: Recall cylinder - formation concept

When a rectangle is rotated about a line to form a cylinder, the distance from the line of rotation to the opposite side of the rectangle becomes the radius of the cylinder.

Step2: Analyze side - lengths of rectangle

The rectangle has side - lengths 3 and 4. To get a radius of 3 units, the line of rotation should be placed such that the distance from the line to the opposite side is 3. If we rotate the rectangle about the line passing through the mid - points of the sides of length 4 (i.e., through points F and I), the radius of the resulting cylinder will be 3 units.

Answer:

F and I