Problem #$2$

The new Goodyear blimp has a volume of $297,527$ cubic feet and weighs $10,000lbf.$ The helium$-$filled blimp is floating at $5,000$ ft$.$ Assume Standard Atmosphere, determine:

$($a$)$ the density of the helium inside the blimp

$($b$)$ the absolute pressure of the helium in the blimp

$($c$)$ the gage pressure of the helium in the blimp