1. A through of length L has a cross section in the shape of a semicircle with radius r. When filled with water to within a distance h of the top, the volume V of water is Given that :V = L [0.5tr2 – r²arcsin (=)– h(r2 – h²)ā] Suppose L = 10 ft, r = 1 ft, and V = 12.4 ft³. a. Find the depth of water in the through. b. Use other method to solve part (a). c. Discuss the comparison between method in part a and part b.

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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1. A through of length L has a cross section in the shape of a semicircle with radius
r. When filled with water to within a distance h of the top, the volume V of water
is
Given that :V = L [0.5tr2 – r²arcsin ()– h(r2 – h²)ž]
Suppose L = 10 ft, r = 1 ft, and V = 12.4 ft³.
Find the depth of water in the through.
b. Use other method to solve part (a).
Discuss the comparison between method in part a and part b.
Transcribed Image Text:1. A through of length L has a cross section in the shape of a semicircle with radius r. When filled with water to within a distance h of the top, the volume V of water is Given that :V = L [0.5tr2 – r²arcsin ()– h(r2 – h²)ž] Suppose L = 10 ft, r = 1 ft, and V = 12.4 ft³. Find the depth of water in the through. b. Use other method to solve part (a). Discuss the comparison between method in part a and part b.
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