Question

calcula el volumen de las figuras
explicación porfavor:)​

Answer 1

Respuesta:

a)

33π cm³

b)

336π

Explicación paso a paso:

a)

r = 3

h = 5

semiesfera

2V = 4/3 πr³

2V = 4/3 π (3)³

2V = 4/3 π (27)

2V = 36π

V = 36π/2

V = 18π

cono

V = 1/3hπr²

V = 1/3(5)π(3)²

V = 1/3(5)π(9)

V = 15π

Volumen total

18π +15π = 33π

b)

D = 12

r = 6

Hcilindro = 8

Hcono = 4

Cilindro

V = πr²Hcilindro

V = π(36)(8)

V = 288π

Cono

V = 1/3πr²Hcono

V = 1/3π(36)(4)

V = 48π

Total

Vcilindro + Vcono = 288π + 48π

Vtotal = 336π