Water in a Cone Example. Given: An inverted cone is 20 cm tall, has an opening radius of 8 cm, and was initially full of water. It is now being drained of water at the constant rate of 15 cm each second. The water's surface level falls as a result. Question: At what rate is the water level falling when the water is halfway down 15 1 the cone? (Note: The volume of a cone is Trh. You may leave T in your answer; do not use a calculator to find a decimal answer.)

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...
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Topic: Related Rates

Water in a Cone Example. Given: An inverted cone is 20 cm tall, has an opening
radius of 8 cm, and was initially full of water. It is now being drained of water at
the constant rate of 15 cm each second. The water's surface level falls as a result.
Question: At what rate is the water level falling when the water is halfway down
15
1
the cone? (Note: The volume of a cone is Trh. You may leave T in your answer;
do not use a calculator to find a decimal answer.)
Transcribed Image Text:Water in a Cone Example. Given: An inverted cone is 20 cm tall, has an opening radius of 8 cm, and was initially full of water. It is now being drained of water at the constant rate of 15 cm each second. The water's surface level falls as a result. Question: At what rate is the water level falling when the water is halfway down 15 1 the cone? (Note: The volume of a cone is Trh. You may leave T in your answer; do not use a calculator to find a decimal answer.)
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