A tank of any inert material will explode if it's sufficiently pressurized when damaged.
For example, here's what happens when a 3000psi natural gas tank lets go a car, note the lack of flame damage:
http://4.bp.blogspot.com/-fK_KBbAEXPs/TlJPWtuJqHI/AAAAAAAAAHo/3th_eTsFFCw/s1600/cng-car.jpg(Given the difficulties ASFs have in packing their mass into their fluffy dimensions, those tanks must be VERY pressurized indeed)
Condensed states of matter (i.e., solids and liquids) don't compress significantly. Thus, there's no appreciable* compression of liquid hydrogen to even several million psi, and BT spacecraft use liquid hydrogen as reaction mass. You could significantly compress gaseous hydrogen, but the limit of pressurization is liquid density. You'd get a larger enhancement in hydrogen density by switching to a slushy or fully solid (icy) state, which can use tanks that are very light due to their low pressure.
*Some tens of percent.
So 80 points of thrust isn't 1 ton of hydrogen, but maybe a tank weighing 900kg and 100kg of hydrogen packed into it. Keeping 100 kg of hydrogen liquid takes a robust tank. :)
The shuttle's external tank uses about 10 tons* of tankage and insulation to keep 100 tons of hydrogen liquid. It's not particularly robustly built since its pressurization limit, with a factor of 2 safety margin, is about 35psi. It's made of thin aluminum and fancy styrofoam. The driving factor behind its mass is still the pressurization, which greatly exceeds other loads (even weight during the shuttle's 3G launch). Switching to a slush or hydrogen ice tank at a few psi would let you use a very thin-walled, ultra-light tank and, better yet, conform to unusual aerospace fighter shapes. Higher pressures tend to use spheres or cylinders (or fancy lobed things like the VentureStar's composite hydrogen tank abomination) to minimize hoop stresses from pressurization and thus structural weights.
*After removing the external tank's intertank, SRB thrust member, LOX tank, and other trimmings to guess the hydrogen tank's mass.