2D Rotations

If the rectangle above is continuously rotated about side w, which solid figure is formed?

• pyramid

• rectangular prism

• cone

• cylinder

Which object is formed when right triangle RST shown above is rotated around leg RS?

• a pyramid with a square base

• an isosceles triangle

• a right triangle

• a cone

Triangle ABC represents a metal flag on pole AD. On a windy day the triangle spins around the pole so fast that it looks like a three-dimensional shape. Which shape would the spinning flag create?

• sphere

• pyramid

• right circular cylinder

• cone

Triangle ABC, with vertices at A(0,0), B(3,5), C(0,5) and , is graphed. Which figure is formed when ΔABC is rotated continuously about BC?

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A student has a rectangular postcard that he folds in half lengthwise.  Next, he rotates it continuously about the folded edge.  Which three-dimensional object below is generated by this rotation?

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If the rectangle below is continuously rotated about side w, which solid figure is formed?

 

• pyramid

• rectangular prism

• cone

• cylinder

Which object is formed when right triangle RST shown below is rotated around leg RS?

• a pyramid with a square base

• an isosceles triangle

• a right triangle

• a cone

Triangle ABC represents a metal flag on pole AD, as shown in the accompanying diagram. On a windy day the triangle spins around the pole so fast that it looks like a three-dimensional shape.

 

 

Which shape would the spinning flag create?

• sphere

• pyramid

• right circular cylinder

• cone

Which three-dimensional figure will result when a rectangle 6 inches long and 5 inches wide is continuously rotated about the longer side?

• a rectangular prism with a length of 6 inches, width of 6 inches, and height of 5 inches

• a rectangular prism with a length of 6 inches, width of 5 inches, and height of 5 inches

• a cylinder with a radius of 5 inches and a height of 6 inches

• a cylinder with a radius of 6 inches and a height of 5 inches

In the diagram below, right triangle ABC has legs whose lengths are 4 and 6.What is the volume of the three-dimensional object formed by continuously rotating the right triangle around AB?