The base of a certain solid is an equilateral triangle with altitude 5. Cross-sections perpendicular to the altitude are semicircles. Find the volume of the solid, using the formula v = [ " A(2) dz A(x) dx a

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 26E
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y = f(x)
2r
2r
cross-section
y = g(x)
base view
The base of a certain solid is an equilateral triangle
with altitude 5. Cross-sections perpendicular to the
altitude are semicircles. Find the volume of the solid,
using the formula
V =
A(x) dx
a
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 5. Cross-sections perpendicular to the altitude are semicircles. Find the volume of the solid, using the formula V = A(x) dx a
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