Cross Sections and Rotations (11.17)

Front

What is a solid of revolution?

Back

A solid of revolution is a three-dimensional shape created by rotating a two-dimensional shape around a straight line (axis).

Front

What is the horizontal cross-section of a sphere?

Back

Circle

Front

What shape is formed when a rectangle is revolved around one of its sides?

Back

Cylinder

Front

What is the formula for the volume of a cylinder?

Back

Volume = πr²h, where r is the radius and h is the height.

Front

What is the difference between a cross-section and a solid of revolution?

Back

A cross-section is a 2-D shape obtained by cutting through a 3-D object, while a solid of revolution is formed by rotating a 2-D shape around an axis.

Front

What is the shape of the cross-section of a cone parallel to its base?

Back

Circle

Front

What is the shape of the cross-section of a cone perpendicular to its height?

Back

Triangle

Front

What is the solid formed by revolving a semicircle around its diameter?

Back

Sphere

Front

What is the formula for the volume of a sphere?

Back

Volume = (4/3)πr³, where r is the radius.

Front

What is the shape of the cross-section of a cylinder taken parallel to its base?

Back

Circle