iShortcut Geometry Vol. 5: Cylinders, Cones & Spheres

All too often students memorize concepts without fully understanding how they work. This method of learning is often frustrating and unsatisfying. iShortcut is different.

iShortcut simplifies fundamental concepts in Geometry by providing a range of interactive diagrams, illustrations, and figures. After each lesson, test your knowledge with review questions. 

Don’t struggle reading lengthy explanations. Learn by engaging with interactive diagrams. Each diagram gives you the ability to manipulate visuals. As you transform the visual, you can see how variables, and cylinders, cones and spheres change. After using this system, you’ll have a strong understanding of these essential concepts.

This book is suitable for grade 6 and higher and is at the level of high school geometry. 

If a picture is worth a thousand words, then an interactive diagram is worth a thousand pictures. Don’t waste time trying to visualize the concept in your head. Simply engage with this system and master geometry.


This is the fifth and final volume of a five volume series on Geometry. 


1. Lines and Angles

2. Triangles

3. Polygons

4. Circles

5. Cylinders, Cones, and Spheres


The book is separated into six chapters:

1) Boxes and Cylinders

What is a cube?

Cube Volume

What Is A Box? (Also called Rectangular Cuboid)

Volume of a Box

Surface Area of a Box

Diagonal of a Box

What is a Cylinder.

Volume of a Cylinder

Surface Area of a Cylinder


2) Cones

What is a Cone

Lateral Area of a Cone

Volume of a Cone


3) Spheres

What is a Sphere?

Cavalieri’s Principle

Volume of Sphere

Surface Area of Sphere


4) Problem solving

Problem solving involving Cylinders, Cones & Spheres.


5) Appendix

Exponent and Square Roots.

Pythagorean Theorem.


6) iShortcut Geometry

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