The Radius of a Right Circular Cone Is Increasing at a Rate

question 36

Short Answer

The radius of a right circular cone is increasing at a rate of $5 \mathrm { in } / \mathrm { s }$ while its height is decreasing at a rate of $3.6 \mathrm { in } / \mathrm { s }$ . At what rate is the volume of the cone changing when the radius is $110 \mathrm { in }$ . and the height is 145 in.?

---

Definitions:

Projects

Specific tasks or endeavors undertaken by individuals or organizations to achieve particular goals, often involving a series of planned actions or steps.

Payback

Payback period refers to the time it takes for an investment to generate enough cash flow to recover its initial cost.

Profitability Index

is a capital budgeting tool that measures the relationship between the present value of cash flows and the initial investment, indicating the value created per dollar invested.

Discount Rate

The interest rate used to discount future cash flows of a financial instrument to their present value, determining the potential investment's value.