Respuesta:
Vt = 0,43π m³
Explicación paso a paso:
Cilindro
r = 40 cm = 0,4 m
h = 150 cm = 1,5 m
Vci = πr²h
Vci = π(0,4)²(1,5)
Vci = 0,24π m³
Cono truncado
r₁ = 20 cm = 0,2 m
r₂ = 40 cm = 0,4 m
h = 20 cm = 0,2 m
Vct = 1/3 (πh)(r₁² + r₂² + r₁r₂)
Vct = 1/3 (π(0,2))((0,2)² + (0,4)² + (0,2*0,4)
Vct = 1/3 (0,2π(0,04 + 0,16 + 0,08))
Vct = 1/3 (0,2π(0,28))
Vct = 0,019π m³
Vt = Vci + Vct
Vt = 0,24π + 0,19π
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Verified answer
Respuesta:
Vt = 0,43π m³
Explicación paso a paso:
Cilindro
r = 40 cm = 0,4 m
h = 150 cm = 1,5 m
Vci = πr²h
Vci = π(0,4)²(1,5)
Vci = 0,24π m³
Cono truncado
r₁ = 20 cm = 0,2 m
r₂ = 40 cm = 0,4 m
h = 20 cm = 0,2 m
Vct = 1/3 (πh)(r₁² + r₂² + r₁r₂)
Vct = 1/3 (π(0,2))((0,2)² + (0,4)² + (0,2*0,4)
Vct = 1/3 (0,2π(0,04 + 0,16 + 0,08))
Vct = 1/3 (0,2π(0,28))
Vct = 0,019π m³
Vt = Vci + Vct
Vt = 0,24π + 0,19π
Vt = 0,43π m³