Page 40 - Geometría 6

Geometría 6° Primaria

1. Determina el área lateral y el área total del cono, si el radio es 3 cm y la altura de
4 cm.

2
2
g = h + r 2
2
2
g = 3 + 4 2
2
g = 25
g = 5cm

⋅
A = 2 ⋅ π ⋅ r g = 2 3,14 3 5 = 94,2cm 2
⋅
⋅
⋅
L
2
2
⋅
A = π r = 3,14 3 = 28,26cm 2
B
∴ A = 94,2 + 28,26 = 122,46cm 2
T

2. Del problema anterior, halla su volumen.

2
π r ⋅ h
V =
3
2
3,14 3 ⋅ 4 3
⋅
V = = 37,68cm
3

3. Halla el área de la esfera de radio 4 cm.
A = 4 r 2
π
⋅
⋅
A = 4 3,14 4 2
A = 200,96cm 2

4. Del problema anterior, calcula el volumen de la esfera.

4 3
V = r π
3

4 3 3
⋅
V = ⋅ 3,14 4 = 267,95cm
3

5. Calcula la cantidad de agua que contiene la pecera, si el radio de la misma es 6 cm.

4 3
V = r π
3
4
V = ⋅ 3,14 6 3
⋅
3
V = 904,32cm 3

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4 Bimestre -177-