A tent is in the shape of cylinder

A tent is in the shape of a cone surmounted on the top of a cylinder. Height of the cone is half that of the cylinder and the base radius of the cylinder is 3 m and the canvas required for the tent is m 2. Last updated on Sep 27, The upcoming notification is a golden opportunity for candidates who want to join the police force in the state of Telangana.

In Figure-6, a tent is in the shape of a cylinder surmounted by a conical top. Both the parts have same radius 2 m. Find the area of the canvas used to make the tent. Dont't have an account? Register Now.

A tent is in the shape of cylinder

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A tent is in the shape of cylinder

To find the area of the canvas used for making a tent shaped like a cylinder surmounted by a conical top, we calculate the surface areas of both the cylindrical and conical parts separately. For the cylinder, the height is 2. For the conical part, the slant height is 2. Adding these areas gives the total canvas area. This calculation provides the total cost of the canvas needed to make the tent. The design of a tent, which combines a cylindrical base with a conical top, presents a practical application of geometry. This problem involves calculating the area of the canvas needed to construct such a tent, a task that requires an understanding of the surface areas of both cylindrical and conical shapes.

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From the above figure, it can be seen that the diameter of the cylindrical part is equal to the diameter of the conical part as the cylindrical part is surmounted by the conical part. As it's given that the base of the tent will not be covered by the canvas then the base of the cylindrical part of the tent is not included in the area of the canvas required. The surface of the tent includes the curved surface of the cylindrical part and the curved surface of the conical part only.

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