Free-Response
Part A
AB 1/BC 3. (a) (Review Chapter 3)
(b) After 15 minutes the rate at which grain is leaking is slowing down at the rate of one half
a cubic foot per minute per minute. (Review Chapter 3)
(c) Let h = the height of the cone and r = its radius. The cone’s diameter is given to be 5h, so
and the cone’s volume,
Then
At t = 10 the table shows and it is given that h = 3; thus:
(Review Chapter 4)
(d) Use one of these Riemann sums:
(Review Chapter 6)