According to Goku, SSJ3 is a transformation that should really only be used in the Other World, or anywhere time doesn't flow. When it is used in a place like Earth, too much energy gets used up too quickly, and it isn't a worthwhile transformation, despite its near-unparalleled power.
The reason why Goku rarely ever uses SS3 since he learned SS God and SS Blue is the same reason Vegeta didn't even bother to learn the form: it drains stamina way too quickly. SS God and SS Blue are not only much more powerful than SS3, but can also be maintained for a longer period of time.
Super Saiyan 3 transformation is to increase the utilization of Energy, and as a result, the transformation consumes far more Energy than even Super Saiyan 2. This notably leads to extended levels of fatigue, even long after powering down.
Goku didn't go SS3 because it drains up to much energy and he needed energy to fuse and make Vegito.
In Dragon Ball GT, Goku's small body caused him to have trouble using Super Saiyan 3. It could not handle the energy output of the transformation, and he could only hold the form for around one minute.
Unlike the base and second Super Saiyan forms, only Dragon Ball's Super Saiyan 3 causes the user to experience detrimental effects by draining their stamina and nearly depleting their ki, resulting in characters such as Goku treating the form more as a last resort.
So with SS3, the use and need of power is so paramount that the body uses the increased mass of the hair to store the massive amounts of energy necessary; almost like a fluffy golden battery if you will.
well gohan cannot go ssj or beyond becuase all of his power has been put into his base form. meaning that he cant tap the next level of power becuase there is no next level.
The reason he never did because it difficult to hold such power that his body can't handle. Like goku, he couldn't hold super saiyan 3 that long because his body wasn't strong enough. In GT goku's little body could not hold super saiyan 3 as well. Super saiyan 3 transformation consume a lot of ki energy.
So lived out the rest of his days in the past and died naturally, and neither Porunga or Shenron have the power to wish a person back to live who died of a natural cause. So it is impossible for him to be revived with the Dragon Balls.
Since he refused to learn about or teach Gohan anything about Saiyan culture aside from constantly being away from his family to fight battles, Gohan has rejected his Saiyan heritage and that is all Goku's fault–making him the worst Saiyan in Dragon Ball history.
Because SS4 is non-canon and they have forms that surpass it now with the gods forms and UI.
So let's see: From what we know for Super Saiyan 3 from the manga: It can be used normally when the user is dead with his body, and residing AfterLife. It rapidly exhausts the user when he is dead and resides in the Living World, and also rapidly decreases the time he can stay there.
First introduced in Dragon Ball GT, Super Saiyan 4 is a fan-favorite transformation used by Goku, Vegeta, and their fusion, Gogeta. Before Dragon Ball Super, it was easily the anime's strongest form. Despite its immense popularity among fans, Super Saiyan 4 isn't actually canon.
Goku was the first to achieve the form, doing so in his vigorous seven years of training in Other World.
1 Gohan Beast, Dragon Ball: Super Hero
Gohan's strongest power transformation is Gohan Beast, an evolved form of Gohan's Potential Unleashed state which originated from the awakenings he has experienced since childhood.
Ultimate Gohan is a transformation achieved by Son Gohan after Elder Kaiōshin unlocked his potential. Despite appearing to be in his normal state, Gohan, in actuality, is using the power of Super Saiyan 2 without the burden the latter transformation places on his body.
In the manga, Goten transforming into a Super Saiyan made him the youngest Super Saiyan ever at that point.
The Saiyan prince then states that pure Saiyans keep the same hair style they have from birth. Hybrid Saiyans like Gohan, Trunks, Goten, Pan and Bura don't retain that trait because unlike Goku or Vegeta, they aren't pure Saiyans.
Incredibly hard to control and master, Mastered Super Saiyan 3 has huge benefits once contained correctly! After good usable of the Super Saiyan Blue transformation, Goku was able to limit his energy enough to sustain Super Saiyan 3 correctly, allowing him to utilize it with ease. Upon mastering it.
Toriyama “wanted to eliminate the time spent coloring in black [hair]” so he simply left Goku's Super Saiyan hair uncolored in that original reveal to save himself some time. “For a serialization that's published weekly, each minute and every second is precious,” Nakano said.
Super Saiyan 3 is the Goku transformation that literally rocked an entire planet. It is also the point where Goku's forms became increasingly ridiculous. Lightning bolts surround his body, he loses his eyebrows, and his hair grows down all the way to his waist.
Super Saiyan 3 Goku at full power has a battle power of 24,000,000,000, 2 billion above Kid Buu's level.