Test: The Cone and its Elements (mathematics - 5º - Primaria - cono - matemáticas - volumen


The Cone and its ElementsVersion en ligne Then I invite you to carry out the following test where the elements of the Cone (Area and volume) are exposed. You can exercise with a simple exercise like this. Courage, you can get the best of yourself! par Angel Borja Alvarez 1 The cone is a three-dimensional geometric figure that is constituted by rotating a right triangle around one of its legs. The cone is then a geometric body with a circular base that is attached to an exterior point called: a Height b Volume c Vertex d Area 2 The elements of a cone constitute: a Axis, Base, Leader, Generatrix, Vertex, Height, Area and Volume. b Base, Angle, Height, Area and Volume. c Area, Height, Volume, Leg, and Vertex d Volume, Vertex, Angle, Base and Height 3 Felipe wants to compare a Chinese hat with a conical shape, but wants to know its volume. If the radius of the right cone of the hat is 3 cm and its height is three times the radius, what is its volume? a Radio and Generator b Base c The height d Angle 4 Find the area of the lateral surface of a right cone if the radius is 4 cm and the slant height is 5 cm. a 62,83 cm2 b 80,83 cm2 c 62cm2 d 60cm2 5 Calculate the approximate volume of ice cream in a "Rich Cold" (Consider π = 3.14) a 61,3 cm3 b 38,12 cm3 c 54,31 cm3 d 50,24 cm3 6 Mateo and Teresa will soon celebrate their son's birthday, the details that they are going to give to their guests are conical, they have not yet been decided by size, but they want them to have the largest possible capacity. The saleswoman in the store assures them that to obtain the highest volume, the radius and the height must be the same measurement; Teresa suggests that to obtain a greater volume, the height of the cone should be double the radius, while Mateo considers that to have a greater volume they should double the radius and reduce the height by half. According to the previous approaches, it can be considered that: 7 6. Mateo and Teresa will soon celebrate their son's birthday, the details that they are going to give to their guests are conical, they have not yet been decided by size, but they want them to have the largest possible capacity. The saleswoman in the store assures them that to obtain the highest volume, the radius and the height must be the same measurement; Teresa suggests that to obtain a greater volume, the height of the cone should be double the radius, while Mateo considers that to have a greater volume they should double the radius and reduce the height by half. According to the previous approaches, it can be considered that: a The cones raised by Mateo and Teresa will have the same volume, since the relationship between radius and height is maintained. b The cone with more volume is the one that Mateo considers as it is wider. c The volume of the cone with the measurements that the seller assures is double the volume of the cone that Teresa lifts. d The cone with the largest volume is the one lifted by the seller, since it has the same height and radius. Feedback 1 Excellent answer, congratulations! 2 Excellent answer, congratulations! 3 Excellent answer, congratulations! 4 Excellent answer, congratulations! 5 Excellent answer, congratulations! 6 Problem applied to the context. Excellent answer, congratulations! 7 Problem applied to the context. Excellent answer, congratulations!

1

The cone is a three-dimensional geometric figure that is constituted by rotating a right triangle around one of its legs. The cone is then a geometric body with a circular base that is attached to an exterior point called:

a

Height

b

Volume

c

Vertex

d

Area

2

The elements of a cone constitute:

a

Axis, Base, Leader, Generatrix, Vertex, Height, Area and Volume.

b

Base, Angle, Height, Area and Volume.

c

Area, Height, Volume, Leg, and Vertex

d

Volume, Vertex, Angle, Base and Height

3

Felipe wants to compare a Chinese hat with a conical shape, but wants to know its volume. If the radius of the right cone of the hat is 3 cm and its height is three times the radius, what is its volume?

a

Radio and Generator

b

Base

c

The height

d

Angle

4

Find the area of the lateral surface of a right cone if the radius is 4 cm and the slant height is 5 cm.

a

62,83 cm2

b

80,83 cm2

c

62cm2

d

60cm2

5

Calculate the approximate volume of ice cream in a "Rich Cold" (Consider π = 3.14)

a

61,3 cm3

b

38,12 cm3

c

54,31 cm3

d

50,24 cm3

6

Mateo and Teresa will soon celebrate their son's birthday, the details that they are going to give to their guests are conical, they have not yet been decided by size, but they want them to have the largest possible capacity. The saleswoman in the store assures them that to obtain the highest volume, the radius and the height must be the same measurement; Teresa suggests that to obtain a greater volume, the height of the cone should be double the radius, while Mateo considers that to have a greater volume they should double the radius and reduce the height by half. According to the previous approaches, it can be considered that:

7

6. Mateo and Teresa will soon celebrate their son's birthday, the details that they are going to give to their guests are conical, they have not yet been decided by size, but they want them to have the largest possible capacity. The saleswoman in the store assures them that to obtain the highest volume, the radius and the height must be the same measurement; Teresa suggests that to obtain a greater volume, the height of the cone should be double the radius, while Mateo considers that to have a greater volume they should double the radius and reduce the height by half. According to the previous approaches, it can be considered that:

a

The cones raised by Mateo and Teresa will have the same volume, since the relationship between radius and height is maintained.

b

The cone with more volume is the one that Mateo considers as it is wider.

c

The volume of the cone with the measurements that the seller assures is double the volume of the cone that Teresa lifts.

d

The cone with the largest volume is the one lifted by the seller, since it has the same height and radius.