Calculus & Analytic Geometry (B.A / B.Sc.)
Chapter:10 (Volumes and Surface Areas)
In this chapter, we will study the following topics:
- computation of volumes
- the volume of the slice
- the fundamental theorem of calculus
- conceiveable region
- area of a circle of radius r
- volumes of solids of revolution
- the volume of solid formed by rotating the region bounded by their curves
- method of cylindrical shells
- the volume of a sphere of radius r
- areas of surfaces of revolution
- the lateral area of a frustum of a cone of slant height
- intermediate value theorem
- moments and center of gravity
- the center of gravity of a lemma
- the moment of a lemma
- centroid of a plane region
- find the centroid of the region bounded by the graphs
- find the centroid of a quarter circle of radius r
- find the centroid of the region bounded by the x-axis
- centroids of solids of revolution
- find the centroid of a hemisphere
- simple treatment of double integrals
- double integrals in polar coordinates
- tipple integrals
- a semi-circle about its diameter
- a regular hexagon about one side
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