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Kisachek [45]
2 years ago
9

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=x^{3 / 2}, \ y=8, \ x=0y=x 3/2, y=8, x=0

Mathematics
1 answer:
ladessa [460]2 years ago
6 0

Answer:

The volume of the solid using shell method is V= π(284/7)

Step by step Explanation:

Shell method is a method device to calculate the volume of a solid of revolution.

From the question, we were given

y=x³/₂

y=8,

x=0

then f(x)=8-x³/₂

The volume we were told to find , using the shell formula can be calculated using below formula

V=2π∫xf(x)dx

CHECK THE ATTACHMENT FOR DETAILED EXPLANATION

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