1. Let V be the volume of a pyramid of height 20 whose base is a square of side 8. (a) Use similar triangles as in Example I to find the area of the horizontal cross section at a height y. (b) Calculate V by integrating the cross-sectional area.
1. Let V be the volume of a pyramid of height 20 whose base is a square of side 8. (a) Use similar triangles as in Example I to find the area of the horizontal cross section at a height y. (b) Calculate V by integrating the cross-sectional area.
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 44AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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Question
![EA
1. Let V be the volume of a pyramid of height 20 whose base is a square
of side 8.
10
h
(a) Use similar triangles as in Example 1 to find the area of the horizontal
cross section at a height y.
(b) Calculate V by integrating the cross-sectional area.
2. Let V be the volume of a right eircular cone of height 10 whose base
is a circle of radius 4 [Figure 16(A)).
(a) Use similar triangles to find the area of a horizontal cross section at a
height y.
R.
(A)
(В)
(b) Calculate V by integrating the cross-sectional area.
FIGURE 16 Right circular cones.
3. Use the method of Exercise 2 to find the formula for the volume of a
right circular cone of height h whose base is a circle of radius R [(Figure
16(B)].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4d68e090-7e11-4ab8-a19a-f8ec202a32a2%2F9c431b28-229a-4daf-a202-9f33e468f54f%2Fkpb52tf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:EA
1. Let V be the volume of a pyramid of height 20 whose base is a square
of side 8.
10
h
(a) Use similar triangles as in Example 1 to find the area of the horizontal
cross section at a height y.
(b) Calculate V by integrating the cross-sectional area.
2. Let V be the volume of a right eircular cone of height 10 whose base
is a circle of radius 4 [Figure 16(A)).
(a) Use similar triangles to find the area of a horizontal cross section at a
height y.
R.
(A)
(В)
(b) Calculate V by integrating the cross-sectional area.
FIGURE 16 Right circular cones.
3. Use the method of Exercise 2 to find the formula for the volume of a
right circular cone of height h whose base is a circle of radius R [(Figure
16(B)].
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