The limits of integration are from x=-pi/2 to x=pi/2.

r_ext(x) = 5, r_int(x) = 5*sqrt(cos(x)).

V = pi*int_from(-pi/2)_to(pi/2)[r_ext^2(x) - r_int^2(x)]dx =

pi*int_(-pi/2)_(pi/2)[25 - 25*cos(x)]dx =

pi*25*[x - sin(x)]_(-pi/2)_(pi/2) =

pi*25*[(pi/2-(-pi/2)) - (sin(pi/2)-sin(-pi/2))] =

25pi*(pi - 2).

thank you, but look how they want the answer... this is an exampleIMG_8910.jpg

Sorry, but the picture you uploaded now is different from the initial!5sqrt(cos(x)) and 3sqrt(cos(x)) make different figures.

The approximate decimal value is 179,32 (cubic units).

No, sorry, 57.08.

And again calculator ... the correct answer is 89.66.

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