steward92
20.11.2020 •
Mathematics
A grain silo consists of a cylindrical concrete tower surmounted by a metal hemispherical dome. The metal in the dome costs 1.8 times as much as the concrete (per unit of surface area). If the volume of the silo is 700 m^3, what are the dimensions of the silo (radius and height of the cylindrical tower) that minimize the cost of the materials? Assume the silo has no floor and no flat ceiling under the dome.
What is the function of the cost of the silo, C, in terms of the radius, r?
C=??
The interval of interest of the objective function is: ??
(Type in interval notation)^
The radius of the cylindrical base (and of the hemispherical dome) is: ??
The height of the cylindrical base is: ??
(Round to the nearest tenth as needed for the last 3 questions)
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Ответ:
Degrees (°) are the basic unit for measuring angles. However, there are some smaller units that help us determine an angle more precisely. Just like an hour, these units are named minute (') and second ("). One degree has 60 minutes or 3600 seconds.
In our case we have 150° + 4/60 + 420/3600 = 150.1833333
Now, let's convert this to DMS. So, the integer part of this decimal number is the number of degrees, which is 150. We then take the remainder, which is 0.18333333 and multiply it with 60 (number of minutes in a degree) to find how many minutes are there:
0.18333333 • 60 = 11.
Since there are no remainder left, this angle has no seconds, so, converted to DMS, this angle is:
150° 11'