“What starts with T, ends with T, and is full of T?” (food riddle)

“What starts with T, ends with T, and is full of T? A teapot.” This popular riddle has been cited in print since at least 1933.
 
“How do you turn a T into a P?”/“Drink it” is another tea (“T”) riddle.
     
     
7 May 1933, Ogden (UT) Standard-Examiner, pg. 23(?), col. 7:
What starts with T, ends with T, and is full of T?—Ruth Ann Siles.
A tea-pot.
     
Google Books
The Fun Encyclopedia;
A comprehensive, all-purpose, entertainment plan-book for the home, club, school, church, and playground

By E. O. Harbin
Nashville, TN: Cokesbury Press
1940
Pg. 41:
What starts with T, ends with T, and is full of T?
Answer: Teapot.
 
31 March 1949, Chester (PA) Times, pg. 46, col. 2:
AB: “What starts with T, ends with T, and is full of T?”
CD: “I know that one. It is a teapot!”
   
Google Books
A diller, a dollar; rhymes and sayings for the ten o’clock scholar
By Lillian Morrison
New York, NY: Crowell
1955
Pg. 22:
What starts with a T, Ends with a T, And is full of T?
(Teapot)
       
Google Books
The Game of Words
By Willard R. Espy
New York, NY: Grosset & Dunlap
1972
Pg. 209:
What starts with T, ends with T, and is full of T?
A teapot.
   
Google News Archive
12 December 1992, Free Lance-Star (Fredericksburg, VA), “The Riddle Box,” pg. D4, col. 2:
What starts with T, ends with T, and is full of T?
A teapot.
 
Google Books
Kids’ Funniest Jokes
Edited by Sheila Anne Barry
New York, NY: Sterling Publishing COmpany, Inc.
1994
Pg. 73:
What starts with T, ends with T, and had T in it?
A teapot.