Concept explainers
a
To find: The volume of the
a
Answer to Problem 24PSC
The volume of the solid formed by rotating the triangle about OA is
Explanation of Solution
Given information:
The co-ordinates of the triangle are
If the triangle rotates about any side, then it form a cone.
The volume of the solid formed by rotating the triangle about OA is calculated as,
Thus, the volume of the solid formed by rotating the triangle about OA is
b
To find: The volume of the solid formed by rotating the triangle about OB.
b
Answer to Problem 24PSC
The volume of the solid formed by rotating the triangle about OB is
Explanation of Solution
Given information:
The co-ordinates of the triangle are
If the triangle rotates about any side, then it forms a cone.
The volume of the solid formed by rotating the triangle about OB is calculated as,
Thus, the volume of the solid formed by rotating the triangle about OB is
c
To find: The volume and the total surface area of the solid formed by rotating the triangle about AB.
c
Answer to Problem 24PSC
The volume and the total surface area of the solid formed by rotating the triangle about AB.
are
Explanation of Solution
Given information:
The co-ordinates of the triangle are
If the triangle rotates about any side, then it forms a cone.
The volume of the solid formed by rotating the triangle about AB is calculated as,
The total surface area of the solid formed by rotating the triangle about AB is calculated as,
Thus, the volume and the total surface area of the solid formed by rotating the triangle about AB.
are
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- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning