Output for Team Lab 12 ------------------------------------------------------------------------------- Problem 1 --------- Part 1.a: Area at X = 0 is 14.1372 Part 1.b: Volume of entire hemisphere is 56.5487 Using integrals, volume is 56.5487 Part 1.c: When X = 0 the volume is 28.2743 Problem 2 --------- Part 2.a: The area at t = 1 is 0 The area at t = 2 is 25.1327 The area at t = 3 is 0 Part 2.b: The volume at t = 2 is 15.5504 The volume at t = 3 is 39.4784 Part 2.c: The volume at t = 1 is 0 The volume at t = 2 is 15.5504 The volume at t = 3 is 39.4784 Part 2.d: The value of t where volume = 20 is 2.1706 Problem 3 --------- The value of t where volume = 20 is 0.40965