Regents Review #1 (3D Geometry)

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?

• 
• 
• 
• 

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

If an equilateral triangle is continuously rotated around one of its medians, which 3-dimensional object is generated?

• cone

• pyramid

• prism

• sphere

Circle O is centered at the origin. In the diagram below, a quarter of circle O is graphed. Which 3-dimensional figure is generated when the quarter circle is continuously rotated about the y-axis?

• cone

• sphere

• cylinder

• hemisphere

An isosceles right triangle whose legs measure 6 is continuously rotated about one of its legs to form a three-dimensional object. The three-dimensional object is a

• cylinder with a diameter of 6

• cylinder with a diameter of 12

• cone with a diameter of 6

• cone with a diameter of 12

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 ?

• 32π

• 48π

• 96π

• 144π

A rectangle whose length and width are 10 and 6, respectively, is shown. The rectangle is continuously rotated around a straight line to form an object whose volume is 150π.

• a long side

• a short side

• the vertical line of symmetry

• the horizontal line of symmetry

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?

• 
• 
• 
• 

Which of following represents a cross section of a sphere?

• triangle
• oval
• circle
• cylinder