Math 3 M8L2 Warmup Solids of Revolution

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 an axis.

Front

What 2D shape can be rotated to form a cylinder?

Back

A rectangle can be rotated around one of its sides to form a cylinder.

Front

What is the result of rotating a rectangle around the y-axis?

Back

The result is a cylinder.

Front

What 2D shape can be rotated to form a cone?

Back

A right triangle can be rotated around one of its legs to form a cone.

Front

What is the axis of rotation?

Back

The axis of rotation is the line around which a shape is rotated to create a solid.

Front

What solid is formed by rotating a circle around its diameter?

Back

A sphere is formed by rotating a circle around its diameter.

Front

What is the difference between a cylinder and a cone?

Back

A cylinder has two parallel circular bases, while a cone has one circular base and a single vertex.

Front

What is the formula for the volume of a cylinder?

Back

The volume of a cylinder is V = πr²h, where r is the radius and h is the height.

Front

What is the formula for the volume of a cone?

Back

The volume of a cone is V = (1/3)πr²h, where r is the radius and h is the height.

Front

What is a cross-section of a solid of revolution?

Back

A cross-section is the intersection of a solid with a plane, showing the shape of the solid at that slice.