Four historically significant baseball bats showcased in the National Baseball Hall of Fame's traveling exhibit "Baseball As America". From left to right: bat used by Babe Ruth to hit his 60th home run during the 1927 season, bat used by Roger Maris to hit his 61st home run during the 1961 season, bat used by Mark McGwire to hit his 70th home run during the 1998 season, and the bat used by Sammy Sosa for his 66th home run during the same season.
If fungoes are a ball tossed into the air by a batter and then struck as it comes down then a fungo bat is a baseball bat used for hitting fungoes. To go into more detail, a fungo bat is a long, lightweight baseball bat used by coaches (or parents) during pregame hitting or practice to help them hit grounders and pop flys with more consistency and less fatigue. To be one of the best in baseball, countless hours of practice are a must and fungo bats are intended for both infield and outfield practice. Plus, they help tremendously with control and accuracy so that coaches and parents can place a ball where they want when they want. 

The fungo is used by a coach to hit balls for defense practice. It is lighter weight, so less fatiguing to hit ball after ball. The fungo sheds its weight above the hands. The severely tapered barrel to drops weight and maintains a high moment of inertia. While the bat would be at greater risk of breaking if used in a live batting exercise, it is safe to use in practice because there are much fewer mis-hits.
If your high school or travel team has at least two coaches, you can use what Bates calls a two-fungo drill. One coach can hit to third and second, while the other hits to short and first. If catchers are finished working with the pitchers, they can feed balls to the fungo hitters. The idea is for the third baseman to practice turning a 5-4-3, with the first baseman moving up toward second base about 60 feet instead of 90, with a net behind him to catch overthrows. The shortstop works on throwing across on 6-3s.
To practice throwing around the infield, Bates recommends several drills you can use. The first involves placing four fielders in a square, about 15 feet apart. The players flip the ball underhanded to each other, like in a double play. Keep their arms straight, using a stiff wrist, with gloves on their hips once the ball is out. Every fielder follows their flip, glove side first, rotating around the square. The idea is to have a sequence of catch, flip and follow. The ball should be caught with two hands, palms open. After about two minutes, repeat the process rotating the other way for another two minutes.

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Baseball bats are made of either wood, or a metal alloy (typically aluminum). Most wooden bats are made from ash. Other woods include maple, hickory, and bamboo. Hickory has fallen into disfavor over its greater weight, which slows down bat speed, while maple bats gained popularity[5] following the introduction of the first major league sanctioned model in 1997. The first player to use one was Joe Carter of the Toronto Blue Jays.[6] Barry Bonds used maple bats the seasons he broke baseball's single-season home run record in 2001, and the career home run record in 2007.[6] In 2010, the increased tendency of maple bats to shatter has caused Major League Baseball to examine their use, banning some models in minor league play.[7][8]
A fungo bat's size and weight make it easier to operate with one hand or two. Coaches can toss a ball up with one hand and hit pop flies or ground balls farther and with greater accuracy with a fungo bat than with a regular bat. According to an article by LJWorld, high school baseball coach Brad Stoll said fungo bats allow him to hit more balls because heavier regular bats would "wear you out." Fungo bats should be used as a practice tool only and should not be used to hit a pitched ball.
A fungo bat is a specially designed bat used by baseball and softball coaches for practice. The etymology of the word fungo ( /ˈfʌŋɡoʊ/) is uncertain, but the Oxford English Dictionary suggests it is derived from the Scots fung: to pitch, toss, or fling.[26] A fungo is longer and lighter than a regulation bat, with a smaller diameter. The bat is designed to hit balls tossed up in the air by the batter, not pitched balls.[27] Typical fungo bats are 35 to 37 inches (89 to 94 cm) long and weigh 17 to 22 ounces (480 to 620 g). Coaches hit many balls during fielding practice, and the weight and length allow the coach to hit balls repeatedly with high accuracy. The small diameter also allows coaches to easily hit pop-ups to catchers and infielders along with ground balls due to better control of the barrel of the bat.
Fungo bats are, simply put, a long, skinny, and lightweight baseball bat used for fielding practice. Typically, they are around 34 to 37 inches in length and between 17 and 24 ounces in weight, give or take a couple of ounces. They will also almost always feature a 2 1/4 inch barrel diameter to allow for more control during a swing. As you can tell, fungo bats are longer than a normal baseball bat and much more lightweight in comparison. Most fungo bats are going to be made up of ash wood while there are some maple and bamboo wood fungo bats, some composite wood fungo bats, and very few aluminum alloy fungo bats. Almost all of these designs will be under $100 with very few eclipsing that mark. 
The most obvious reasons to utilize a fungo bat is the fact that it’s lightweight. It’s handy to coaches when conducting fielding practice since he or she has to hit plenty of balls to warm up his or her players. What is for sure is that hitting countless balls during practice can be tiring. Consequently, having a bat that’s lighter weight is magical at preventing the coach and/or players from getting tired.
A fungo bat is used by the coach to hit ground balls or fly balls to his team. All throughout high school and college many players use fungo bats to play fungo golf. This is when each person has a fungo bat and a baseball and they pick out targets around their field or complex and basically play it in the same manner as golf. Fungo bats should not be used to hit a pitched baseball because they are much weaker than normal bats and will break much much easier.

Though entertaining enough, this play appears in its entirety as a small part of Sorrentino's magnum opus MULLIGAN STEW. You can read it as easily there as in this form. Plus you'll have the rest of Mulligan Stew as well. So I recommend you only buy this volume if you're the sort of collector who owns books because of what they are, not what they say.

Even in those formative years, authorities on the game warned the practice of hitting fungoes should be limited to coaches. Henry Chadwick, one of baseball’s earliest proponents, claimed “The weakest batting is shown when the batsmen indulges in fungo hitting,” according to the Art of Batting. Others agreed that the practice was bad for training a batter’s reflexes: “While watching some of our freshmen practicing ‘fungo’ batting the other afternoon it occurred to me that it was about the worst kind of practice a batsman could imagine in training his eye in batting,” a writer claimed in the March 3, 1886 edition of The Sporting Life. “It trains the eye to meet the ball in batting it in a manner which never occurs in actual play. It ought to be prohibited on every well regulated ball field.”