A Water Tank Has the Shape of an Inverted Circular $2 \text { inches } / \mathrm { m }$

question 182

Short Answer

A water tank has the shape of an inverted circular cone with base radius 6 feet and height of 12 feet. The tank is full of water. If the water level is falling at the rate of $2 \text { inches } / \mathrm { m }$ , how fast is the tank losing water when the water is 8 feet deep?

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Definitions:

Cognitive-behavioral

A therapeutic approach that aims to change patterns of thinking or behavior that are behind people’s difficulties, and so change the way they feel.

Somatic Symptom Disorder

A disorder in which people become excessively distressed, concerned, and anxious about bodily symptoms that they are experiencing, and their lives are greatly and disproportionately disrupted by the symptoms.

Excoriation Disorder

A mental disorder characterized by the repeated urge to pick at one's own skin, often leading to damage and distress.

Body Dysmorphic Disorder

A mental health condition where a person can't stop thinking about perceived defects or flaws in their appearance.