Answer:
1) Circle -parallel cross section of a sphere
2) Cylinder- shape created when a rectangle is rotated about the y-axis.
3.) Cone - shape created when a right angled triangle is rotated about the y-axis.
4) Rectangle- perpendicular cross section of a cylinder.
5) Triangle- perpendicular cross section of a pyramid.
Step-by-step explanation:
The question is incomplete. Here is the complete question.
"Match the term with the definition. . . -perpendicular cross section of a pyramid. -perpendicular cross section of a cylinder. -parallel cross section of a sphere. -shape created when a rectangle is rotated about the y-axis. -shape created when a right triangle is rotated about the y-axis. . 1. circle. 2. cylinder. 3. triangle. 4. cone. 5. ellipse."
1.) Circle -parallel cross section of a sphere.
A circle can be formed out of s sphere by simply cutting the sphere parallel from the top to the base. It is easier to form circle out of sphere since sphere is circular in nature.
2.) Cylinder- shape created when a rectangle is rotated about the y-axis.
y axis is the vertical axis in spacial distribution. If a rectangle is rotated about its axis, it forms a cylinder. It is just like rolling a piece of A4 paper by trying to make the edges of the paper intersect.
3.) Cone - shape created when a right angled triangle is rotated about the y-axis.
This is kind of similar to that of cylinder formed out from a rectangle. If a plain sheet in right angled triangle form is rolled in the same manner i.e making one edge of the paper intersect with the other. The turning can be done at the base of the right angled triangle.
4.) Rectangle- perpendicular cross section of a cylinder.
Rectangle is a perpendicular bisection of a cylinder since we can form a cylinder out of a rectangle. The cylinder can be cut through its height to produce a rectangle.
5) Triangle- perpendicular cross section of a pyramid.
Triangle can be formed from a triangular or square based pyramid since each face of a pyramid are made up of triangles. They can easily be cut out perpendicularly from the tip of the pyramid to its base.
![( \sqrt[3]{105}) ^6](https://tex.z-dn.net/?f=%28%20%5Csqrt%5B3%5D%7B105%7D%29%20%5E6)
which is 105^2 which is 11025