Volume of smaller cone = (1/3)π × (2 cm)^2 × 4.5 cm = 6π cubic cm
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- Volume of original cone = (1/3)π × (4 cm)^2 × 9 cm = 48π cubic cm
- Height of smaller cone = 9 cm / 2 = 4.5 cm
- Radius of smaller cone (proportional) = 4 cm / 9 cm × 4.5 cm = 2 cm
- A sphere with a radius of 7 cm is inscribed in a cube. What is the volume of the cube not occupied by the sphere?
- Side length of the cube = 2 × radius of sphere = 14 cm
- Volume of the cube = 14 cm × 14 cm × 14 cm = 2744 cubic cm
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