Solve the Problem $V ( h ) = 4100 \pi ( h - 10 ) + \frac { 500 } { 7 } \pi$

question 137

Multiple Choice

Solve the problem.
-A farmer's silo is the shape of a cylinder with a hemisphere as the roof. If the radius of the hemisphere is 10 feet and the height of the silo is h feet, express the volume of the silo as a function of h.

• A) \(V ( h ) = 4100 \pi ( h - 10 ) + \frac { 500 } { 7 } \pi\)
• B) \(V ( h ) = 100 \pi h + \frac { 4000 } { 3 } \pi h ^ { 2 }\)
• C) \(V ( h ) = 100 \pi \left( h ^ { 2 } - 10 \right) + \frac { 5000 } { 3 } \pi\)
• D) \(V ( h ) = 100 \pi ( h - 10 ) + \frac { 2000 } { 3 } \pi\)

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Definitions:

Acute Stress

A form of stress that is brief and related to specific events or situations, often perceived as within one's coping abilities.

Sympathetic Nervous System

Part of the autonomic nervous system that prepares the body for action by triggering the fight-or-flight response.

Extremities

The farthest points or limits of something; in a physiological context, it refers to the limbs of the body (arms and legs).

Glial Cells

Non-neuronal cells in the central and peripheral nervous systems that support and protect neurons.