Using Date pattern yyyy-MM-dd'T'HH:mm:ss.SSS'Z' and Java 8 you could do
String string = "2018-04-10T04:00:00.000Z";
DateTimeFormatter formatter = DateTimeFormatter.ofPattern("yyyy-MM-dd'T'HH:mm:ss.SSS'Z'", Locale.ENGLISH);
LocalDate date = LocalDate.parse(string, formatter);
System.out.println(date);
Update: For pre 26 use Joda time
String string = "2018-04-10T04:00:00.000Z";
DateTimeFormatter formatter = DateTimeFormat.forPattern("yyyy-MM-dd'T'HH:mm:ss.SSS'Z'");
LocalDate date = org.joda.time.LocalDate.parse(string, formatter);
In app/build.gradle file, add like this-
dependencies {
compile 'joda-time:joda-time:2.9.4'
}