Question about Spatial Geometry: Metric Relations of Cones
Subject Mathematics
Mathematics
Source Originais Teachy
Originais Teachy
Topic Spatial Geometry: Metric Relations of Cones
Spatial Geometry: Metric Relations of Cones
Difficulty Easy
Easy
(Originais Teachy 2023) - Question Easy of Mathematics
A manufacturer of handmade candles wants to create a special packaging for a set of three conical candles. The packaging will have the shape of a cone without the base, with the top of the cone open. To do this, it is necessary to calculate the amount of paper required to build the packaging. Considering that the height of each candle is 20 cm and the diameter of the base of each candle is 5 cm, and that the height of the packaging should be 1 cm taller than the tallest candle, and the opening at the top of the packaging should have the same diameter as the base of the candles, what should be the metric relationship between the height, the radius, and the generatrix of the cone formed by the candle packaging, so that the packaging is made up of a single piece of paper and there is no waste of material?a.
The exact metric relationship between the height, the radius, and the generatrix of the cone formed by the candle packaging, so that the packaging is made with a single piece of paper and without waste of material, is: 20 cm <= g <= 25π cm.
b.
The exact metric relationship between the height, the radius, and the generatrix of the cone formed by the candle packaging, so that the packaging is made with a single piece of paper and without waste of material, is: 20 cm <= g <= 12,5π cm.
c.
The exact metric relationship between the height, the radius, and the generatrix of the cone formed by the candle packaging, so that the packaging is made with a single piece of paper and without waste of material, is: 20 cm <= g <= 15π cm.
d.
The exact metric relationship between the height, the radius, and the generatrix of the cone formed by the candle packaging, so that the packaging is made with a single piece of paper and without waste of material, is: 20 cm <= g <= 20π cm.
e.
The exact metric relationship between the height, the radius, and the generatrix of the cone formed by the candle packaging, so that the packaging is made with a single piece of paper and without waste of material, is: 20 cm <= g <= 10π cm.
Answer sheet:
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