A hemispherical bowl of internal radius 9 cm is full of juice. The juice is poured into cylindrical bottles of radius 1.5 cm and height 4 cm. How many bottles does it fill?

Bowl = (2/3)π × $9^3$ = (2/3)π × 729 = 486π ${\text{cm}}^3$. One bottle = π × $1.5^2\times 4=9$π ${\text{cm}}^3$. Number = 486/9 = 54. (Using the whole-sphere formula (4/3)π$r^3$ gives 108 — a bowl is only half a sphere; using the cone formula (1/3)π$r^3$ gives 27.)