Which shape has a uniform cross section? A sphere B cylinder C pyramid D cone
The correct answer and explanation is:
Correct Answer: B. Cylinder
Explanation:
A uniform cross-section means that when a shape is sliced perpendicular to its height (or length), the cross-section (the exposed face from the cut) is always the same shape and size throughout the entire length.
Let’s evaluate each option:
A. Sphere:
A sphere does not have a uniform cross-section. If you slice a sphere at different levels (not through the center), the resulting cross-sections are circles of different sizes. Only a cut through the center gives the largest circle (a great circle), but other cuts give smaller circles. Hence, the cross-sections are not uniform.
B. Cylinder: ✅ Correct
A cylinder does have a uniform cross-section. If you slice a cylinder perpendicular to its height (along the length of the tube), every cross-section is a circle of the same size. Whether you cut it at the top, middle, or bottom, the shape and size remain consistent. This makes the cylinder a shape with a uniform cross-section.
C. Pyramid:
A pyramid does not have a uniform cross-section. If you slice it parallel to its base but at different heights, you will get smaller and smaller versions of the base. For example, a square pyramid sliced higher up yields a smaller square. So, the cross-sections are not uniform.
D. Cone:
A cone also does not have a uniform cross-section. Similar to a pyramid, slicing a cone parallel to its base results in circular cross-sections of different sizes, getting smaller as you go toward the tip.
Conclusion:
Only the cylinder maintains the same shape and size of its cross-section throughout its length, making Option B the correct answer.