An inverted pyramid is being filled with water at a constant rate of 25 cubic centimeters per second. The pyramid, at the top, has the shape of a square with sides of length 6 cm, and the height is 9 cm. b1 b2 Find the rate at which the water level is rising when the water level is 5 cm. Use similar triangles, and the fact that the volume of a pyramid is 1 V 3 The exact answer is cm/sec The decimal approximation (to one decimal place) is cm/sec

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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An inverted pyramid is being filled with water at a constant rate of 25
cubic centimeters per second. The pyramid, at the top, has the shape of a
square with sides of length 6 cm, and the height is 9 cm.
bị
b2
Find the rate at which the water level is rising when the water level is 5
cm. Use similar triangles, and the fact that the volume of a pyramid is
h
1
V =
3
The exact answer is
cm/sec
cm/sec
The decimal approximation (to one decimal place) is
Transcribed Image Text:An inverted pyramid is being filled with water at a constant rate of 25 cubic centimeters per second. The pyramid, at the top, has the shape of a square with sides of length 6 cm, and the height is 9 cm. bị b2 Find the rate at which the water level is rising when the water level is 5 cm. Use similar triangles, and the fact that the volume of a pyramid is h 1 V = 3 The exact answer is cm/sec cm/sec The decimal approximation (to one decimal place) is
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