What is the volume of the solid produced by revolving f ( x ) = x <mrow class=

boloman0z

boloman0z

Answered question

2022-06-08

What is the volume of the solid produced by revolving f ( x ) = x 2 , x [ 0 , 4 ] around the x-axis?

Answer & Explanation

Jovan Wong

Jovan Wong

Beginner2022-06-09Added 23 answers

The Volume of Revolution about Ox is given by:
V = x = a x = b π y 2 d x
So for for this problem:
V = 0 4 π ( x 2 ) 2 d x
= π 0 4 x 4 d x
= π [ x 5 5 ] 0 4
= π 5 [ x 5 ] 0 4
= 1024 π 5

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