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Use the shell method to write and evaluate the definite integral that represents the volume of the solid generated by revolving the plane region about the y-axis.
y = x3/2 y = 27 x = 0.

Respuesta :

samuelonum1

Answer:

[tex]v=\pi(\frac{1392}{7} )[/tex]

Step-by-step explanation:

kindly find attached to solved problem.

Given that

[tex]y= x^{2/3} \\\\y= 27\\\\x= 0[/tex]

 

We can use the shell method as stated bellow

[tex]v= 2\pi\int\limits^d_c {p(y)} {h(y)} dy[/tex]  

we then proceed to substitute the given details into the shell formula and the solution for the volume was found to be

[tex]v=\pi(\frac{1392}{7} )[/tex]

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