Use the Shell Method to Find the Volume of the Solid

question 29

Multiple Choice

Use the shell method to find the volume of the solid generated by revolving the shaded region about the indicated axis.
-About the $y$ -axis


$y = 3 x - x ^ { 2 }$

• A) \(\frac { 27 } { 4 } \pi\)
• B) \(\frac { 81 } { 4 } \pi\)
• C) \(\frac { 27 } { 2 } \pi\)
• D) \(\frac { 81 } { 8 } \pi\)

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Definitions:

EOQ

Economic Order Quantity is a formula used by businesses to determine the ideal order quantity that minimizes inventory costs including holding, shortage, and order costs.

Capital Cost

The upfront expenditure required to acquire or improve fixed assets such as buildings, machinery, or equipment, contributing to the productive capacity of a firm.

Hurdle Rate

The minimum rate of return on an investment that a business requires before it will proceed with the project.

WACC

Weighted Average Cost of Capital; a calculation of a firm's cost of capital where each category of capital is proportionately weighted.