y = f(x) 2r 2r cross-section y = g(x) base view The base of a certain solid is an equilateral triangle with altitude 7. Cross-sections perpendicular to the altitude are semicircles. Find the volume of the solid, using the formula V = A(x) dæ а applied to the picture shown above (click for a better view), with the left vertex of the triangle at the origin and the given altitude along the x-axis. Note: You can get full credit for this problem by just entering the final answer (to the last question) correctly. The initial questions are meant as hints towards the final answer and also allow you the opportunity to get partial credit. The lower limit of integration is a = The upper limit of integration is b = %3D The diameter 2r of the semicircular cross-section is the following function of x: A(x)=

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter10: Measurement, Area, And Volume
Section10.6: Surface Areas Of Pyramids And Cones
Problem 20E
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Question
y = f(x)
2r
2r
cross-section
y = g(x)
base view
The base of a certain solid is an equilateral triangle
with altitude 7. Cross-sections perpendicular to the
altitude are semicircles. Find the volume of the solid,
using the formula
- |
V =
A(x) dæ
a
applied to the picture shown above (click for a better view),
with the left vertex of the triangle at the origin and the given
altitude along the x-axis.
Note: You can get full credit for this problem by just entering
the final answer (to the last question) correctly. The initial
questions are meant as hints towards the final answer and
also allow you the opportunity to get partial credit.
The lower limit of integration is a =
The upper limit of integration is b =
%3D
The diameter 2r of the semicircular cross-section is the
following function of x:
A(x) =
Thus the volume of the solid is V =
Transcribed Image Text:y = f(x) 2r 2r cross-section y = g(x) base view The base of a certain solid is an equilateral triangle with altitude 7. Cross-sections perpendicular to the altitude are semicircles. Find the volume of the solid, using the formula - | V = A(x) dæ a applied to the picture shown above (click for a better view), with the left vertex of the triangle at the origin and the given altitude along the x-axis. Note: You can get full credit for this problem by just entering the final answer (to the last question) correctly. The initial questions are meant as hints towards the final answer and also allow you the opportunity to get partial credit. The lower limit of integration is a = The upper limit of integration is b = %3D The diameter 2r of the semicircular cross-section is the following function of x: A(x) = Thus the volume of the solid is V =
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