A Bar of Ice Cream, with Dimensions of 3 Cm $\mathrm{cm}^{3} / \mathrm{min}$

question 48

Multiple Choice

A bar of ice cream, with dimensions of 3 cm by 3 cm by 3 cm placed on a mesh screen on top of a cylindrical funnel that is 6 cm high and 6 cm in diameter.If the ice cream is melting at a rate of 3.3 $\mathrm{cm}^{3} / \mathrm{min}$ into the funnel, what is the rate of change of the height of the funnel when half of the ice cream has melted? $V_{f u m a l}=\frac{1}{3} \pi r^{2} h$

• A)0.232
• B)0.032
• C)0.132
• D)0.284
• E)0.083

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Definitions:

Make-to-order

A manufacturing process in which products are created after a confirmed order is received, allowing for customization.

Primary Activities

Core functions or processes of a business that directly add value to a product or service, including production, marketing, sales, and service.

Production and Distribution

The processes involved in creating products or services and making them available to consumers, encompassing manufacturing, logistics, and sales channels.

RFID (Radio-Frequency Identification)

A technology that uses radio waves to identify and track objects, animals, or people automatically.