ข้อความเดิมเขียนโดยคุณ FranceZii Siriseth (ข้อความที่ 178705)

6. Cylinder $x^2+y^2 \le r^2$ , Let $C$ be the part of the cylinder satisfying $0 \le z \le y$
6.1) Cross section of $C$ by the plane $x=t,-r \le t \le r$ . Express the area n term $r,t$
6.2) หาปริมาตรของ $C$ ในเทอม $r$
6.3) $a$= length of arc along the base of circle c from $(r,0,0)$ to $(rcos(\theta),rsin(\theta),rsin(\theta)$
6.4) $b$= length of line segment from the point $(rcos(\theta),rsin(\theta),0)$ to $(rcos(\theta),rsin(\theta),rsin(\theta))$
6.5) Find the area of side of $C$ with $x^2+y^2=r^2$ in term $r$