Question

ПОМОГИТЕ! найти площадь боковой поверхности и объем цилиндра

Answer 1

$\displaystyle CD = \frac{OE}{\sin60} = \frac{30}{\frac{\sqrt{3}}{2}} = \frac{60}{\sqrt3}\\ OE = r = \frac{CD}{2} = \frac{30}{\sqrt3}\\ OO_1 = h = \frac{OE}{\sin30} = \frac{30}{\sqrt3}\cdot 2= \frac{60}{\sqrt3}\\ S = 2\pi rh = 2\pi\cdot\frac{30}{\sqrt3}\cdot\frac{60}{\sqrt3} = 1200\pi\\ V = \pi r^2h = \pi \cdot\frac{900}{3}\cdot\frac{60}{\sqrt3} = 18000\frac{\pi}{\sqrt3}$