1. How many square meters of canvass are required for a conical tent 5.5 m high and 3 m diameter if 10% of the material is wasted? 2. A right circular cone has a volume of 134.04 cm3 and an altitude of 8 cm. What is its lateral surface area in cm2? 3. The lateral area of a right circular cone is equal to 47.124 cm2 and the ratio of its radius to its altitude is 3:4. Find the volume of the cone. 4. A closed conical tank has a base diameter of 3 m at the top and an altitude of 4 m. It is filled with water to a depth of 1.30 m. If the tank is inverted, its base lying on the ground, determine the new depth of water. 5. A circular piece of cardboard with a diameter of 1 m will be made into a conical hat 40 cm high by cutting a sector off and joining the edges to form a cone. Determine the central angle of the sector removed. 6. A conical vessel has a height of 24 cm and a base diameter of 12 cm. It holds water to a depth of 18 cm above its vertex. Find the volume of its content in cm3.

1. How many square meters of canvass are required for a conical tent 5.5 m high and 3 m diameter if 10% of the material is wasted? 2. A right circular cone has a volume of 134.04 cm3 and an altitude of 8 cm. What is its lateral surface area in cm2? 3. The lateral area of a right circular cone is equal to 47.124 cm2 and the ratio of its radius to its altitude is 3:4. Find the volume of the cone. 4. A closed conical tank has a base diameter of 3 m at the top and an altitude of 4 m. It is filled with water to a depth of 1.30 m. If the tank is inverted, its base lying on the ground, determine the new depth of water. 5. A circular piece of cardboard with a diameter of 1 m will be made into a conical hat 40 cm high by cutting a sector off and joining the edges to form a cone. Determine the central angle of the sector removed. 6. A conical vessel has a height of 24 cm and a base diameter of 12 cm. It holds water to a depth of 18 cm above its vertex. Find the volume of its content in cm3.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.4: Polyhedrons And Spheres

Problem 24E: A calendar is determined by using each of the 12 faces of a regular dodecahedron for one month of...

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