Question: Ludwig van Beethoven's Cello Sonata No. 3 in A major, Op. 69 was written in 1808, in the same year Beethoven also completed and published his Fifth and Sixth Symphonies, composed and completed in 1808, which was first performed in the Theater an der Wien on which date, in a four-hour concert?

Context paragraphs:
Symphony No. 6 (Beethoven): The Symphony No. 6 in F major, Op. 68, also known as the Pastoral Symphony (German: "Pastorale"), is a symphony composed by Ludwig van Beethoven, and completed in 1808.  One of Beethoven's few works containing explicitly programmatic content, the symphony was first performed in the Theater an der Wien on 22 December 1808 in a four-hour concert.

Piano Concerto No. 4 (Beethoven): Ludwig van Beethoven's Piano Concerto No. 4 in G major, Op.  58, was composed in 1805–1806.  Beethoven was the soloist in the public premiere as part of the concert on 22 December 1808 at Vienna's Theater an der Wien.

Symphony No. 5 (Beethoven): The Symphony No. 5 in C minor of Ludwig van Beethoven, Op.  67, was written between 1804–1808.  It is one of the best-known compositions in classical music, and one of the most frequently played symphonies.  First performed in Vienna's Theater an der Wien in 1808, the work achieved its prodigious reputation soon afterward.  E. T. A. Hoffmann described the symphony as "one of the most important works of the time".  The symphony consists of four movements.  The first movement is Allegro con brio; the second movement is Andante con moto; the third movement is a Scherzo Allegro; the fourth movement is Allegro.

Cello sonata: A cello sonata is usually a sonata written for solo cello or small instrument ensemble.  The most famous Romantic-era cello sonatas are those written by Johannes Brahms and Ludwig van Beethoven.  Some of the earliest cello sonatas were written in the 18th century by Francesco Geminiani and Antonio Vivaldi.

Violin Sonata No. 5 (Beethoven): The Violin Sonata No. 5 in F major, Opus 24, is a violin sonata by Ludwig van Beethoven.  It is often known as the "Spring Sonata" ("Frühlingssonate"), and was published in 1801.  Its dedicatee was Count Moritz von Fries, a patron to whom Beethoven also dedicated two other works of the same year—the C major string quintet and the fourth violin sonata—as well as his later seventh symphony.

Christ on the Mount of Olives (Beethoven): Christus am Ölberge (in English, "Christ on the Mount of Olives"), Op. 85, is an oratorio by Ludwig van Beethoven portraying the emotional turmoil of Jesus in the garden of Gethsemane prior to his crucifixion.  It was begun in the fall of 1802, soon after his completion of the Heiligenstadt Testament, as indicated by evidence in the Wielhorsky sketchbook.  The libretto in German is by the poet Franz Xaver Huber, editor of the "Wiener Zeitung", with whom Beethoven worked closely.  It was written in a very short period; in a letter to Breitkopf & Härtel written shortly after the oratorio's completion, Beethoven spoke of having written it in "a few weeks", although he later claimed that the piece required no more than 14 days to complete.  It was first performed on April 5, 1803 at the Theater an der Wien in Vienna; in 1811, it was revised by Beethoven for publication by Breitkopf & Härtel.  The 10 years that passed between the composition of the work and its publication resulted in its being assigned a relatively high opus number.

Beethoven concert of 22 December 1808: The Beethoven concert of 22 December 1808 was a benefit concert held for Ludwig van Beethoven at the Theater an der Wien in Vienna that featured the public premieres of Beethoven's Fifth and Sixth Symphonies, the Fourth Piano Concerto and the Choral Fantasy.  This concert, then called an "Akademie", occurred in a very cold hall and was approximately four hours duration.  Its featured performers were an orchestra, chorus, vocal soloists, and the composer as piano soloist.  Beethoven biographer Barry Cooper refers to the concert, in terms of its content, as the "most remarkable" of Beethoven's career.

Choral Fantasy (Beethoven): The Fantasy (Fantasia) for piano, vocal soloists, chorus, and orchestra, Op.  80 , was composed in 1808 by Ludwig van Beethoven.  It is known as the Choral Fantasy ("Chorphantasie").  Beethoven wrote the piece to conclude the "Akademie", a benefit concert for him on 22 December 1808, performed by soloists, chorus and orchestra.  The long program presented also the first performances of his Fifth and Sixth Symphonies and the Fourth Piano Concerto.  Beethoven was the composer of all pieces, the pianist and the conductor.

Cello Sonata No. 3 (Beethoven): Ludwig van Beethoven's Cello Sonata No. 3 in A major, Op.  69 was written in 1808, Beethoven's second compositional period.  Composed in the same year were the two piano trios of Op. 70 and the Choral Fantasy; in the same year Beethoven also completed and published his Fifth and Sixth Symphonies.  The sonata was dedicated to Baron Ignaz von Gleichenstein and first performed in March 1809 by cellist Nikolaus Kraft and pianist Dorothea von Ertmann.  Beethoven composed five sonatas for cello and piano over his lifetime; Steven Isserlis described his third sonata as the first cello sonata in history to give equally important parts to both of the instruments.

Piano Sonata No. 3 (Beethoven): Ludwig van Beethoven's Piano Sonata No. 3 in C major, Op. 2, No. 3, is a sonata written for solo piano, composed in 1795.  It is dedicated to Joseph Haydn and is often referred to as Beethoven's first virtuosic piano sonata.  The three Opus 2 sonatas all contain four movements each, an unusual length which seems to show that Beethoven was aspiring towards composing a symphony.  It is both the weightiest and longest of the three Opus 2 sonatas, lasting over 25 minutes, presenting many difficulties, including difficult trills, awkward hand movements, and forearm rotation.  It is Beethoven's second longest piano sonata in his early period, only to Beethoven's Grand Sonata in E-flat Major, Op. 7, published a year later.

Supporting paragraphs: Cello Sonata No. 3 (Beethoven) Symphony No. 6 (Beethoven)
Answer: 22 December 1808