use-cylinder-ring-method-y-2x-1-y-2x-3-x-2-y-axis-

Question Number 95722 by rb222 last updated on 27/May/20

u s e c y l i n d e r r i n g m e t h o d

y = 2 x - 1

y = - 2 x + 3

x = 2

y - a x i s

Answered by i jagooll last updated on 27/May/20

vol = 2 π {\int^{2}}_{1} x (2 x - 1 - (- 2 x + 3)) d x

= 2 π {\int^{2}}_{1} x (4 x - 4) d x

= 2 π {\int^{2}}_{1} (4 x^{2} - 4 x) d x

= 2 π {[\frac{4}{3} x^{3} - 2 x^{2}]}_{1}^{2}

= 2 π [\frac{4}{3} (7) - 2 (3)]

= 2 π (\frac{28 - 18}{3}) = \frac{20 π}{3}

Commented by rb222 last updated on 27/May/20

t h a n k s s i r

Answered by john santu last updated on 27/May/20