Think back to early in the semester when the weather was cold and often snowy. Imagine that in a parking lot near campus, it snowed quite a bit and the snow was plowed into one giant mound in the corner of the parking lot. The mound was 24 inches high, and it’s base was 36 inches wide. After that day, it warmed up and the mound started melting such that it’s height was decreasing at a rate of 0.5 inches per hour, and the sides of the base were decreasing at a rate of 0.25 inches per hour. Find the rate at which the entire mound of snow was melting, i.e. the rate at which the volume of the mound was decreasing. (V = 1/3 lwh where l is the length of the base, w is the width of the base, and h is the height of the pyramid)

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter10: Exponential And Logarithmic Functions
Section10.2: Evaluate And Graph Exponential Functions
Problem 10.33TI: Another researcher at the Center for Disease Control and Prevention, Lisa, is studying the growth of...
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Think back to early in the semester when the weather was cold and often snowy. Imagine that in a parking lot near campus, it snowed quite a bit and the snow was plowed into one giant mound in the corner of the parking lot. The mound was 24 inches high, and it’s base was 36 inches wide. After that day, it warmed up and the mound started melting such that it’s height was decreasing at a rate of 0.5 inches per hour, and the sides of the base were decreasing at a rate of 0.25 inches per hour.

Find the rate at which the entire mound of snow was melting, i.e. the rate at which the volume of the mound was decreasing. (V = 1/3 lwh where l is the length of the base, w is the width of the base, and h is the height of the pyramid)

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