Sectors, cylinders, cones, and spheres: tools, builder game, comics, and quiz.
Use → / Space to advance, ← to go back. Each slide builds the formula step by step from the figure.
Swipe left for next slide, right for previous — or use the arrows. Each slide builds the formula step by step from the figure.
Tap the ← and → buttons below the slide. Each slide builds the formula step by step from the figure.
Worked steps
Drag the orange dots to set L₁ and L₂. Then press Next to find the scale factor k, the area of ②, then its volume.
Colour key
①original figure (known)
②enlarged figure (find it)
= length ratio L₂ : L₁
Build a figure: drag shapes from the palette onto the canvas and resize them.
Then drag each formula label onto the shape it belongs to — a correct match reveals that
shape's working and adds it to the total. Click any shape to peek at its formula.
Canvas0 shapes
Drag each formula onto its matching shape:
Shape
Total Area
Sum of every shape's area on the canvas
Total area
Each formula is interactive — hover to highlight, click to open its full derivation with a labelled diagram.
Read each page. When a concept finishes, answer the two follow-up questions. They stay on this tab only.
Question 1 of 1
Pre S3 L07–09 Area and Volume Quiz — answer each question, use Next to move on. Submit on Q8 to see all results. Diagrams are on the paper PDF.