Question about Spatial Geometry: Metric Relations of the Cylinder
Subject Mathematics
Mathematics
Source Originais Teachy
Originais Teachy
Topic Spatial Geometry: Metric Relations of the Cylinder
Spatial Geometry: Metric Relations of the Cylinder
Difficulty Medium
Medium
(Originais Teachy 2023) - Question Medium of Mathematics
A manufacturer of aluminum cans develops a new packaging model for a soda brand. The can has the shape of a right cylinder, with a radius of 3 cm and a height of 12 cm. (a) Calculate the distance between the center of the bottom base and a specific point on the edge of the top base, knowing that this point is on the same vertical line that passes through the center of the bottom base. (b) Determine the lateral area of the can. (c) If a straight cut is made on the can, connecting the center of the bottom base to the specific point on the edge of the top base and the can is unrolled until it becomes flat, determine the dimensions of this rectangle.Answer sheet:
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