Author note — to cover

Four thirds of pi r cubed, cubing only the radius, hemispheres as exact halves, and reverse problems recovering r by cube root. G17 requires calculating with the formula, which it does not list among those to know. Composite solids with hemispheres follow. Both tiers. (G17)

• Fluency — direct questions on volume of a sphere, 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).