y-x-2-1-y-0-x-1-x-2-find-the-volume-of-the-object-obtained-by-rotating-the-figure-bounded-by-lines-around-the-abscissa-axis-

Question Number 169860 by Shrinava last updated on 11/May/22

y = x^{2} + 1

y = 0

x = - 1

x = 2

find the volume of the object obtained

by rotating the figure bounded by lines

around the abscissa axis

Answered by mr W last updated on 11/May/22

Commented by mr W last updated on 11/May/22

t r y i n g w i t h o u t i n t e g r a l c a l c u l a t i o n .

V_{1} = 2 π \times 3 \times 1 \times 0.5 = 3 π

V_{2} = 2 π \times \frac{1 \times 1}{3} \times (1 + \frac{1}{4}) = \frac{5 π}{6}

V_{3} = 2 π \times \frac{2 \times 4}{3} \times (1 + \frac{4}{4}) = \frac{32 π}{3}

\Rightarrow V = Σ = \frac{29 π}{2}

Commented by Shrinava last updated on 12/May/22

Perfect dear professor thank you