A water tank, in the shape of a cone, has water draining out, where its volume is changing at a rate of -0.25 ft³/sec. Find the rate at which the level of the water is changing when the level (h) is 10 feet. 12 V = 14 r²h Hint: If then r = 3h; Get V in terms of h only. 14 -0.25 ft³/sec dh = [?] ft/sec dt Round your answer to the nearest thousandth. Enter

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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A water tank, in the shape of a cone, has water
draining out, where its volume is changing at a
rate of -0.25 ft³/sec. Find the rate at which the
level of the water is changing when the level (h) is
10 feet.
12
V =
14
↓
r²h
Hint: If
= then r = 3h;
14
Get V in terms of h only.
-0.25 ft³/sec
dh = [?] ft/sec
dt
Round your answer to the nearest thousandth.
Enter
Transcribed Image Text:A water tank, in the shape of a cone, has water draining out, where its volume is changing at a rate of -0.25 ft³/sec. Find the rate at which the level of the water is changing when the level (h) is 10 feet. 12 V = 14 ↓ r²h Hint: If = then r = 3h; 14 Get V in terms of h only. -0.25 ft³/sec dh = [?] ft/sec dt Round your answer to the nearest thousandth. Enter
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