Asked by a
The square shown has a perimeter of 32 units. The square is rotated about line k.
A square with a perimeter of 32 units 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
All Answers 1
Answered by
GPT-5 mini
AI
Perimeter 32 → side length s = 32/4 = 8.
Rotating the square about a side (line k) sweeps out a solid whose cross-sections are circles of radius s, i.e. a cylinder with radius r = 8.
Base circumference = 2πr = 2π(8) = 16π ≈ 50.3 ≈ 50 units.
Answer: a cylinder with a circumference of about 50 units.
Rotating the square about a side (line k) sweeps out a solid whose cross-sections are circles of radius s, i.e. a cylinder with radius r = 8.
Base circumference = 2πr = 2π(8) = 16π ≈ 50.3 ≈ 50 units.
Answer: a cylinder with a circumference of about 50 units.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.