Cone application exercise


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? a Volumen b Total area c Lateral area d Perimeter 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 a Pi times the radius times the lateral height (generatrix). b Height squared times lateral height (generatrix) squared. c Radius times Pi squared d Pi times the radius squared 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? a Pi b radius c lateral height d height 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 ?. a Law of extremes b Pythagoras theorem c Cosine theorem d Sine theorem 6 What is the value of the lateral height (generatrix)? a 36,6 cm b 41,8 cm c 30 cm d 31,6 cm 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 Explanation 4 Pi=3,1416 5 The three sides are related by saying that the hypotenuse squared is equal to the sum of the legs squared 6 Implementación del teorema de Pitagoras 7 We replace the data of the formula: lateral area is equal to pi times the radius times the lateral height

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

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

Volumen

Total area

Lateral area

Perimeter

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:

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

Pi times the radius times the lateral height (generatrix).

Height squared times lateral height (generatrix) squared.

Radius times Pi squared

Pi times the radius squared

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?

radius

lateral height

height

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 ?.

Law of extremes

Pythagoras theorem

Cosine theorem

Sine theorem

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

36,6 cm

41,8 cm

30 cm

31,6 cm

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

Explanation

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