A Tank Has the Shape of an Inverted Right Circular $4 \mathrm {~m}$

question 90

Short Answer

A tank has the shape of an inverted right circular cone with a base radius of $4 \mathrm {~m}$ and a height of $9 \mathrm {~m}$ . If the tank is filled to a height of $1 \mathrm {~m}$ , find the work required (to the nearest joule) to empty the tank by pumping the water over the top of the tank. (The mass of water is $1000 \mathrm {~kg} / \mathrm { m } ^ { 3 }$ and the force of gravity is $9.8 \mathrm {~m} / \mathrm { sec } ^ { 2 }$ .)

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Definitions:

Stimulus Generalization

Learning that occurs when stimuli that are similar but not identical to the conditioned stimulus produce the conditioned response.

Stimulus Discrimination

Learning to differentiate between two similar stimuli when only one of them is consistently associated with the unconditioned stimulus.

Unconditioned Stimulus

In classical conditioning, a stimulus that naturally and automatically triggers a reflexive response without the need for prior learning.

Conditioned Response

A learned reaction to a specific stimulus after repeated exposure, typically studied in the context of classical conditioning.