Given a cylinder of radius R and height H, what is the formula for finding the volume of ββthe larger of the two geometric figures obtained by cutting the cylinder with a plane perpendicular to the bases, and placed at distance (minimum) D from the axis of symmetry of the cylinder, with R > 0, H > 0, 0 < D < R ?
Find the area of the larger of the two geometric figures obtained by cutting a cylinder with an axis perpendicular to the bases
0
$\begingroup$
geometry
-
0Yes, that is what I mean. β 2011-11-09
1 Answers
0
Area of a circular segment =area of wedge - area of triangle =$\frac{R^{2}}{2}(\theta-\sin\theta)$
angle of wedge = $\theta=2cos^{-1}{\frac{D}{R}}$
Volume=$H\frac{R^{2}}{2}(\theta-\sin\theta)$
-
0"Area of Wedge" here means [Circular Sector](http://en.wikipedia.org/wiki/Circular_sector) β 2011-11-17