Sand is pouring from a pipe at the rate of 80 ft/s. The falling sand forms a conical pile on the ground. The height of the cone is always one-half the radius of its base. How fast is the height of the cone increasing when the pile is 20 feet high? (Recall: V = r² h) O 45 ft/sec O 1/45 ft/sec O 1/20 ft/sec O 20 ft/sec 1/20 ft/sec

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question
Sand is pouring from a pipe at the rate of 807 ft3/s. The falling sand forms a conical pile on the
ground. The height of the cone is always one-half the radius of its base. How fast is the height of
the cone increasing when the pile is 20 feet high? (Recall: V = ²h)
45 ft/sec
O 1/45 ft/sec
1/20 ft/sec
O 20 ft/sec
O 1/30 ft/sec
Transcribed Image Text:Sand is pouring from a pipe at the rate of 807 ft3/s. The falling sand forms a conical pile on the ground. The height of the cone is always one-half the radius of its base. How fast is the height of the cone increasing when the pile is 20 feet high? (Recall: V = ²h) 45 ft/sec O 1/45 ft/sec 1/20 ft/sec O 20 ft/sec O 1/30 ft/sec
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