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Changes in cone volume The volume of a right circular cone
Chapter 10, Problem 32E(choose chapter or problem)
Changes in cone volume The volume of a right circular cone with radius r and height h is \(V=\pi r^{2} h / 3\).
a. Approximate the change in the volume of the cone when the radius changes from r = 6.5 to r = 6.6 and the height changes from h = 4.20 to h = 4.15.
b. Approximate the change in the volume of the cone when the radius changes from r = 5.40 to r = 5.37 and the height changes from h = 12.0 to h = 11.96.
Questions & Answers
QUESTION:
Changes in cone volume The volume of a right circular cone with radius r and height h is \(V=\pi r^{2} h / 3\).
a. Approximate the change in the volume of the cone when the radius changes from r = 6.5 to r = 6.6 and the height changes from h = 4.20 to h = 4.15.
b. Approximate the change in the volume of the cone when the radius changes from r = 5.40 to r = 5.37 and the height changes from h = 12.0 to h = 11.96.
ANSWER:Solution 32E Step 1 : given that the volume of a right circular cone with radius r and height h is V = r2h/3.