Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
Looking for a volume formulas quiz? Then this Geometry quiz on Volumes of Cylinders, Cones, Pyramids and Spheres asks 10 multiple-choice questions with instant feedback. Ten multiple-choice questions on volume formulas, Cavalieri’s principle and unit conversion. Each explanation points out the mistake behind the tempting wrong choices.
Standards: G-GMD.A.1, G-GMD.A.3 · Level: Grade 10 Geometry
What this Volumes of Cylinders, Cones, Pyramids and Spheres quiz checks
- Cylinder: V = πr²h; cone: V = ⅓πr²h; pyramid: V = ⅓Bh.
- Sphere: V = (4/3)πr³; a hemisphere is half of that.
- Cavalieri's principle: equal heights and equal cross-sectional areas mean equal volumes.
- Use the perpendicular height, never the slant height, in volume formulas.
The 10 questions of the quiz
- What is the volume formula for a cylinder?
- A cone and a cylinder have the same radius and height. The cylinder holds 90 cubic inches. How much does the cone hold?
- A stack of 40 coins is pushed sideways into a leaning tower without changing the height. Which principle says the volume is unchanged?
- What is its volume?
- A ball has radius 6 inches. What is its volume?
- What is the volume?
- A hemisphere has radius 6. What is its volume?
- A cone has radius 5 and slant height 13. Which value must be used in the volume formula?
- A paint can is replaced by one twice as wide but with the same height. How does the amount of paint it holds change?
- How many liters are in 5,000 cubic centimeters?
After the quiz
Missed a question? Reread the Volumes of Cylinders, Cones, Pyramids and Spheres lesson, then take the quiz again. Next, solve the Geometry worksheet on Volumes of Cylinders, Cones, Pyramids and Spheres, one star first, then two and three stars. Finally, take the chapter test under real conditions, without notes and with a timer.
Mis à jour le