SOLUTION: (a) An open lid tank to be made by concrete has width 50𝑐𝑚, inside capacity of 4000 𝑚3 and square base. Find the inner dimension of the tank wit the minimum volume o

Question 1182945: (a) An open lid tank to be made by concrete has width 50𝑐𝑚, inside capacity of
4000 𝑚3 and square base. Find the inner dimension of the tank wit the minimum volume of concrete.
(b) Using definite integrals, design a mathematical model to find the innervolume of a circular tube of a vehicle wheel.
(c) Draw the curves of 𝑦^2 = 4𝑎𝑥 and 𝑦^2 = 𝑎(8 − 4𝑥) in the same diagram, where
a>0.
i) Find the area 𝑆 enclosed by the curves.
ii) If the area 𝑆 is rotated of an angle 2𝜋 about:
(α) 𝑥 − axis; (β) 𝑦 − axis;
then find the volumes of the generated bodies.
Answer by ikleyn(52894) (Show Source): You can put this solution on YOUR website!
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