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Cone application exercise

Quiz

In the present tests, an application exercise is presented with five consecutive questions necessary to solve the question posed.
Remember to watch the presentation of the cone before playing.
Creators: Lina Marolin Mayorga

Download the paper version to play

Recommended age: 15 years old
2 times made

Created by

Colombia

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Cone application exerciseOnline version

In the present tests, an application exercise is presented with five consecutive questions necessary to solve the question posed. Remember to watch the presentation of the cone before playing. Creators: Lina Marolin Mayorga

by Geometria Del espacio
1

What formula should we implement to respond to the problem posed?

2

To find the amount of paper that Ana will need, we must find the lateral area of the cone, for which we implement the formula which tells us that:

3

To find the amount of paper that Ana will need, we must find the lateral area of a cone, for which we implement the formula which tells us that the lateral area of a cone is equal to

4

Taking into account that the lateral area of a cone is equal to Pi times the radius times the lateral height (generatrix), what data is needed to perform the exercise?

5

As we do not know the value of the height the teral (generatrix) and taking into account that the cone forms a right triangle with the height (h), the radius(r) and the generatrix (g) (as we see in the image) that we must apply to find the generatrix ?.

6

What is the value of the lateral height (generatrix)?

7

Finally, we answer the generating question Approximately how much paper will: Does Ana need to line a cone-shaped hat with a base radius of 10 cm and a height of 30 cm?

Written answer

Feedback

Pi=3,1416

The three sides are related by saying that the hypotenuse squared is equal to the sum of the legs squared

Implementación del teorema de Pitagoras

We replace the data of the formula: lateral area is equal to pi times the radius times the lateral height

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