Demystifying - Volume of a cone

Drills

⅓πr²h with the perpendicular height rather than the slant, and Pythagoras to convert between the two.

Author note — to cover

One third of pi r squared h with the perpendicular height, using Pythagoras to move between height, radius and slant height when needed, exact-pi and rounded answers. G17 asks for calculation, not recall, of the formula. The frustum, a Higher page, subtracts a similar cone. Both tiers. (G17, G20)

  • Fluency — direct questions on volume of a cone, limited to this lesson's stated scope (4 questions).
  • Application — use the same skill in unfamiliar or contextual questions without introducing a later method (4 questions).
  • Check — questions built around the exclusions and likely misconceptions named in the lesson brief (4 questions).

The test

—coming soon—

Where to go next

The method this drill practises is taught on Volume of a cone.