Question

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.

Answer 1

Answer:

$v=\pi(\frac{1392}{7} )$

Step-by-step explanation:

kindly find attached to solved problem.

Given that

$y= x^{2/3} \\\\y= 27\\\\x= 0$

 

We can use the shell method as stated bellow

$v= 2\pi\int\limits^d_c {p(y)} {h(y)} dy$  

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

$v=\pi(\frac{1392}{7} )$