The floor of a rectangular room having a length of 10 meters, a width of 6 meters, and a height of 3 meters is covered with honey. The population density of flies in the room at a height of h meters above the floor is given by o(h) = 5e-h flies per cubic meter. Find the number of flies in the room.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter26: Customary (english) Units Of Measure
Section: Chapter Questions
Problem 5A: The volume V of a cone with height h and diameter d is given by V=0.2618d2h . What is the volume of...
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The floor of a rectangular room having a length of 10 meters, a width of 6 meters,
and a height of 3 meters is covered with honey. The population density of flies in the
room at a height of h meters above the floor is given by o(h) = 5e3-h flies per cubic
meter. Find the number of flies in the room.
Transcribed Image Text:The floor of a rectangular room having a length of 10 meters, a width of 6 meters, and a height of 3 meters is covered with honey. The population density of flies in the room at a height of h meters above the floor is given by o(h) = 5e3-h flies per cubic meter. Find the number of flies in the room.
Expert Solution
Step 1

Given:

The floor of a rectangular room having a length (l)=10 m,width (w)=6 m,and height (h)=3 m is covered with honey.

(i.e) consider as cuboid .The population density of flies in the room at a height above the floor is given by σ(h)=5e3-h

flies per cubic meter.

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