Rezovare:
1) G - generatoare a trunchiului de con;
[tex]G = \sqrt{(R-r)^2 + h_{t}^2} = \sqrt{(6-2)^{2} + (3)^2} = 5 \text{cm}[/tex]
2) [tex]$V = \frac{\pi \cdot h_{t}(R^{2} + r^{2} + Rr)}{3} = \frac{\pi \cdot 3 \cdot (2^2 + 6^2 + 2\cdot 6)}{3} = \pi \cdot (4 + 36 + 12) = 52 \pi \text{cm}^{3}$[/tex]
3) [tex]A_{l} = \pi \cdot G \cdot (R + r) = \pi \cdot 5 \cdot (6 + 2) = 40 \pi \text{cm}^2[/tex]
4) [tex]A_{t} = A_l + \pi(R^2 + r^2) = 40\pi + (6^2 + 2^2)\pi =80 \pi \text{cm}^2[/tex]
5) [tex]$\text{tg}(\alpha) = \frac{3}{2}$[/tex]
