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Mathematics
Mathematics
Problem
A room is in the form of a cylinder surmounted by a hemispherical dome. The base radius of the hemisphere is half of the height of the cylindrical part. If the room contains
1408
21
\frac{1408}{21}
21
1408
m
3
^3
3
of air, find the height of the cylindrical part. (Use
π
=
22
7
\pi = \frac{22}{7}
π
=
7
22
).
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