The complete question is;
The square shown(image attached) has a perimeter of 32 units. The square is rotated about line k. What shape is created by the rotation and what is the approximate circumference of the base? Circumference of a circle: C = 2πr a cone with a base circumference of about 25 units a cone with a base circumference of about 50 units a cylinder with a circumference of about 25 units a cylinder with a circumference of about 50 units.
Answer:
The shape created by the rotation is a cylinder with a circumference of approximately 50 units.
Step-by-step explanation:
We are told that the perimeter of the square is 32 units.
Now the formula for perimeter of a square is given by the equation;
Perimeter;P = 4L
where;
P is the perimeter and L is the length of each of the sides.
When P is 32 units then,
32 units = 4L
L = 32/4
L = 8 units
Thus;
The side length of square is 8 units
Now, from the diagram, If the square is rotated about line k, then it will form a cylinder with radius 8 units.
Circumference of a circle = 2πr
where, r is the radius of the circle.
Thus;
Circumference of the base;
C = 2π(8)
C = 50.27 units ≈ 50 units
The shape is created by the rotation is a cylinder with a circumference of about 50 units.
Answer:
D: A cylinder with a circumference of about 50 units
Step-by-step explanation:
