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5 FILLING A CONE An inverted right-circular cone stands with its tip at the origin (like an ice-cream cone). It has base radius 7 cm and height 22 cm. Water pours in at a constant rate of 7 cm³/s. When the water has reached 10 cm high, at what rate is h changing? 1. Draw a diagram and label relevant lengths. 2. Find the rate. Use 22/7 and check that your answer has correct units.

5 FILLING A CONE An inverted right-circular cone stands with its tip at the origin (like an ice-cream cone). It has base radius 7 cm and height 22 cm. Water pours in at a constant rate of 7 cm³/s. When the water has reached 10 cm high, at what rate is h changing? 1. Draw a diagram and label relevant lengths. 2. Find the rate. Use 22/7 and check that your answer has correct units.

Calculus: Early Transcendentals
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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# Filling a Cone An inverted right-circular cone stands with its tip at the origin (like an ice-cream cone). It has a base radius of 7 cm and a height of 22 cm. Water pours in at a constant rate of 7 cm³/s. When the water has reached 10 cm high, at what rate is \( h \) changing? 1. **Draw a diagram and label relevant lengths.** 2. **Find the rate.** Use \( \pi \approx 22/7 \) and check that your answer has correct units.
Transcribed Image Text:# Filling a Cone An inverted right-circular cone stands with its tip at the origin (like an ice-cream cone). It has a base radius of 7 cm and a height of 22 cm. Water pours in at a constant rate of 7 cm³/s. When the water has reached 10 cm high, at what rate is \( h \) changing? 1. **Draw a diagram and label relevant lengths.** 2. **Find the rate.** Use \( \pi \approx 22/7 \) and check that your answer has correct units.
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