What is the volume of the solid produced by revolving f ( x ) = 7 &#x2212;<!-- − -->

2nalfq8 2022-07-10 Answered
What is the volume of the solid produced by revolving f ( x ) = 7 x , x [ 0 , 2 ] around the x-axis?
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Answers (1)

Jamarcus Shields
Answered 2022-07-11 Author has 17 answers
y=7-x is a straight line; The volume of revolution is that of a large cone of radius 7 height 7 minus that of smaller cone radius 5 height 5; Using
V c o n e = 1 3 π r 2 h, Then:
V = 1 3 π ( 7 ) 2 ( 7 ) 1 3 π ( 5 ) 2 ( 5 )
= 1 3 π ( 7 3 5 3 )
= 1 3 π ( 343 125 )
= 218 π 3
228.289

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