mconcepcionmilp7rfkn
27.11.2019 •
Mathematics
1. use euler’s formula to find the missing number.
vertices: 15
edges: 24
faces: ?
• 9
• 10
• 11
• 12
7. what is the surface area of a conical grain storage tank that has a height of 43 meters and a diameter of 14 meters? round the answer to the nearest square meter.
• 1,100 square meters
• 1,112 square meters
• 2,507 square meters
• 2,605 square meters
8. the lateral area of a cone is 612 cm2. the radius is 43 cm. what is the slant height to the nearest tenth of a centimeter?
• 4.5 cm
• 7.1 cm
• 9.1 cm
• 14.2 cm
Solved
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Ответ:
Faces=11 faces
surface area=1112 square meters
slant height=4.5 cm
Step-by-step explanation:
Part 1: Given that
Vertices=15
Edges=24
we have to find the number of faces by using Euler's formula
Euler's formula shows the relation between vertices, edges and face for convex polyhedron.
It states that the number of vertices and faces is exactly 2 more than no. of edges i.e
V-E+F=2
⇒ 15-24+F=2
⇒ F=2+24-15=11
Hence, number of faces are 11
Part 2: Given the height and diameter of cone
Height=43 m
Diameter=14 m
∴
Part 3: Given
Radius=43 cm
Ответ:
JK
Step-by-step explanation: