
A.
37.00(pi) 
B.
37.33(pi) 
C.
40.00(pi) 
D.
42.67(pi)
Correct Answer: Option B
Explanation
(frac{dv}{dt}) = (pi)(20 – t^{2})cm^{2}S^{1}
(int)dv = (pi)(20 – t^{2})dt
V = (pi) (int)(20 – t^{2})dt
V = (pi)(20 (frac{t}{3}) – t^{3}) + c
when c = 0, V = (20t – (frac{t^3}{3}))
after t = 2 seconds
V = (pi)(40 – (frac{8}{3})
= (pi)(frac{120 – 8}{3})
= (frac{112}{3})
= 37.33(pi)