classify

function get_volcanic_areas() {
  var volcanoes = ee.FeatureCollection('ft:1By_TxmjpCjLippFR1REdyA7ULGEAoQPw-EjubYAk')
  function volcanoPatch(feature) {
    var lat = ee.Number(feature.get('latitude'))
    var lon = ee.Number(feature.get('longitude'))
    var geom = ee.Geometry.Point(lon,lat).buffer(50000)
    return ee.Feature(geom,{}).copyProperties(feature)
  }
  return volcanoes.map(volcanoPatch)
}

var volcanic_areas = get_volcanic_areas()
//Map.addLayer(volcanic_areas)

// fire features
var fire1 = ee.Geometry.Point(-116.19, 38.75)
var fire2 = ee.Geometry.Point(-105.21, 34.96)
var fire3 = ee.Geometry.Point(-89.82, 43.33)

// volcano (hawaii)
var hawaii = ee.Geometry.Point(-155.2286, 19.4329)
var iceland = ee.Geometry.Point(-20.39, 64.17)

// fire feature collection
var hotThings = ee.FeatureCollection([
  ee.Feature(fire1,{}),
  ee.Feature(fire2,{}),
  ee.Feature(fire3,{}),
  ee.Feature(hawaii,{}),
  ee.Feature(iceland,{})
  ])

//Map.addLayer(hotThings,{color:'red'})


function classify(feature) {
  
  var hot = feature.geometry()
  var volcanic = hot.containedIn(volcanic_areas)
  var hot_type = ee.Algorithms.If(volcanic,'volcanic','fire')
  
  return ee.Feature(hot,{'hot_type':hot_type}).copyProperties(feature)
}

var classified = hotThings.map(classify)

var volcanoes = classified.filter(ee.Filter.eq('hot_type','volcanic'))
var fires = classified.filter(ee.Filter.eq('hot_type','fire'))

//filter then print t map
print(volcanoes)
print(fires)

Map.addLayer(volcanic_areas)
Map.addLayer(volcanoes,{color:'cyan'})
Map.addLayer(fires,{color:'red'})