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
1 answer:
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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Answer:
Step-by-step explanation:
To solve this problem you must apply the proccedure shown below:
- Apply the Distributive property.
- Remember that, according the exponents properties, when you multiply two powers with equal base, you must add the exponents.
- Add the like terms.
Therefore, you obtain that the product is the following: