This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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4. Two similar cones have radii 3 cm and 9 cm. Let cm (smaller cone) and cm (larger cone).
4.a) Find the scale factor. The scale factor is the ratio of corresponding linear dimensions. We'll use the ratio of the larger radius to the smaller radius. The scale factor is .
4.b) If the smaller cone has volume 40 cm, find the volume of the larger cone. For similar solids,
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4. Two similar cones have radii 3 cm and 9 cm.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.