find-the-volume-of-the-solid-generated-when-the-region-bounded-by-the-y-x-y-x-2-x-2-and-x-4-revolved-about-the-x-axis-

Question Number 141191 by Eric002 last updated on 17/May/21

f i n d t h e v o l u m e o f t h e s o l i d g e n e r a t e d

w h e n t h e r e g i o n b o u n d e d b y t h e y = x

y = x + 2, x = 2 a n d x = 4 r e v o l v e d a b o u t t h e x - a x i s

Answered by ajfour last updated on 17/May/21

V = π \int_{2}^{4} {{(x + 2)}^{2} - x^{2}} d x

= π (2 x^{2} + 4 x) ∣_{2}^{4}

= π (24 + 8) = 32 π

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