Modul
e
8 : Applications of Integration - II
Lecture
24 : Volume of solids of revolution by washer method [Section 24.1]
2.
Find the volume of the solid when the region enclosed by the given curves is revolved about
(i)
in the first quadrant.
(ii)
(iii)
3.
A solid spherical ball of radius
is cut into two pieces by a plane at a distance
from its center. Find the
volume of the two pieces.
4.
The disk
is revolved about the
to generate a solid torus. Find the volume of this solid torus by the Washer Method.
5.
A solid is generated by rotating the region under the graph of a continuous function,
about the
. If its volume, for any given
, is equal to
, find
6.
Find the volume of the solid generated by revolving the region bounded by the curves
about the line
by the washer method.
7.
A round hole of radius
centimeters is bored through the center of a solid ball of radius 2 centimeters. Find
the volume cut out.
1
2
3
4
5
6
7
8
9
10
11
12
13
14
in the first quadrant. 
is cut into two pieces by a plane at a distance 
from its center. Find the
to generate a solid torus. Find the volume of this solid torus by the Washer Method. 
. If its volume, for any given 
, is equal to 
, find 
by the washer method. 
centimeters is bored through the center of a solid ball of radius 2 centimeters. Find 
