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1. 4 persons live in a conical tent whose slant height is 19 \(cm\). If each person require 22
\(cm^2\) of the floor area, then find the height of the tent.
Answer:
Base area of the tent \(=\) \(cm^2\)
The height of the tent \(=\) \(cm\)
[Note: Enter the answers up to one decimal place.]
2. A girl wishes to prepare birthday caps in the form of right circular cones for her birthday party, using a sheet of paper whose area is \(5720\) \(cm^2\). How many caps can be made with radius \(5\) \(cm\) and height \(12\) \(cm\)?
Answer:
Number of caps can be made \(=\)
3. The ratio of the radii of two right circular cones of same height is \(1:3\). Find the ratio of their curved surface area when the height of each cone is \(3\) times the radius of the smaller cone.
Answer:
The ratio of the curved surface area of two cones \(=\)