To find: the volume of the monument.
Answer to Problem 21RE
The volume of the monument is
Explanation of Solution
Given information:
The height of the monument is
A horizontal cross section at a distance x meters from top is an equilateral triangle with side
Calculation:
Draw the equilateral triangle as shown in Figure 1.
Refer to Figure 1.
Find the height of the equilateral triangle.
Find the area of triangle using the formula.
Here, b is breadth and h is height.
Substitute
Find the volume of monument using the formula:
Substitute 0 for a, 20 for b, and
Therefore, volume of the monument is
Chapter 6 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning