A storm at sea has damaged an oil-rig. Oil spills from the rupture at the constant rate of $\displaystyle {30}\frac{{{f}{t}^{{3}}}}{\min}$, forming a slick that is roughly circular in shape and $\displaystyle {5}$ inches thick.

(a) When the radius is $\displaystyle {44}{f}{t}$ , the radius of the slick is increasing by feet per minute, rounded to the nearest hundredth.

(b)  If the radius of the slick is increasing at a rate of $\displaystyle {0.5}\frac{{{f}{t}}}{{\min}}$  when the flow stops, which is assumed to be instant rather than gradual, the total volume of oil that spilled onto the sea is cubic feet, rounded to the nearest hundredth.