Barrons AP Calculus - David Bock

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)