$$ \sqrt{17^{2}-8^{2}}=\sqrt{225}=15 \mathrm{~cm}=320 \pi=256 \pi+320 \pi=576 \pi \mathrm{~cm} $$ 24. Some identical metal right circular cylinders are melted and recast into a right circular cone. The base radius and the height of each metal circular cylinder are 3 cm and 4 cm respectively while the circular cylinders are required to form the circular cone? b. In the fight of the circular cone are 0.24 m and 0.21 m respectively. How many metal

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1. 每一個圓柱體的底面半徑為 $$3 \text{ cm}$$，高為 $$4 \text{ cm}$$，所以圓柱體體積為  
   $$
   V_{\text{cyl}} = \pi\times(3)^2\times 4 = 36\pi \text{ cm}^3.
   $$

2. 鑄造成的圓錐體底面半徑與高分別為 $$0.24 \text{ m}$$ 與 $$0.21 \text{ m}$$。將單位轉為公分：  
   $$
   0.24 \text{ m}=24 \text{ cm},\quad 0.21 \text{ m}=21 \text{ cm}.
   $$

3. 圓錐體的體積為  
   $$
   V_{\text{cone}} = \frac{1}{3}\pi\times(24)^2\times21.
   $$
   先計算 $$24^2$$：  
   $$
   24^2=576.
   $$
   因此  
   $$
   V_{\text{cone}} = \frac{1}{3}\pi\times576\times21 = 4032\pi \text{ cm}^3.
   $$

4. 使用的圓柱體數量為圓錐體體積與單一圓柱體體積的比：  
   $$
   n = \frac{4032\pi}{36\pi} = 112.
   $$

答案：需要 $$112$$ 個圓柱體。
需要112個圓柱體。

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