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.
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.
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 23E: The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each...
Related questions
Question
![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 cm? 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3339f575-f397-4b39-949c-0d0d4d12b598%2F7a7b20f0-179b-468f-9c47-565e129bb92d%2Fddpk37h_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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 cm? 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.
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