Geometry
# Volume

**most** water?

$288\pi$. The chocolate is then melted down and reshaped into a solid cube. Assume no chocolate was wasted.

A solid sphere of chocolate has a volume ofDid the sphere have a greater surface area or does the cube?

**Useful equations:**

- Volume of a sphere: $V=\frac{4}{3}\pi r^3$
- Volume of a cube: $V=a^3$
- Surface area of a sphere: $A=4\pi r^2$
- Surface area of a cube: $A=6a^2$

$8 \text{ in}^3$ cube?

What is the volume of the octahedron inside this

A chocolate shop sells its products in 3 different shapes: a cylindrical bar, a spherical ball, and a cone. These 3 shapes are of the same height and radius, as shown in the picture. Which of these choices would give you the most chocolate?

$\text{ I. A full cylindrical bar } \hspace{.4cm} \text{ or } \hspace{.45cm} \text{ II. A ball plus a cone }$