Don’t memorize it. See why.
Build, pour, and slice your way to three solid-volume formulas.
CCSS 8.G.C.9 · Grade 8
01
Twelve thin disks, one cylinder. Every disk has the same base area.
1 · Every Matching Heightπ(r² − y²) = πr² − πy²
2 · Cavalieri’S PrincipleVhemi = πr³ − ⅓πr³ = ⅔πr³
3 · Double The HemisphereVsphere = 2 × ⅔πr³ = 4⁄3πr³
Base Area · πr²28.27square units
×
Height · h6units
=
Cylinder Volume169.65cubic units