Volumes with Cross Sections: Triangles/Semicircles
AP Calculus AB · Flashcards
AP CALCULUS AB · FLASHCARDS
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QUESTION
How is the volume of a solid with semicircular cross sections calculated?
QUESTION
What is
A
(
x
)
A(x)
A
(
x
)
for a semicircle if the radius is
r
(
x
)
=
x
+
1
r(x)=x+1
r
(
x
)
=
x
+
1
?
QUESTION
What is the side/leg length
s
(
x
)
s(x)
s
(
x
)
if a cross section uses the base segment between
y
=
f
(
x
)
y=f(x)
y
=
f
(
x
)
and
y
=
g
(
x
)
y=g(x)
y
=
g
(
x
)
?
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ANSWER
s
(
x
)
=
f
(
x
)
−
g
(
x
)
s(x)=f(x)-g(x)
s
(
x
)
=
f
(
x
)
−
g
(
x
)
. Vertical distance between curves gives side/leg length at each
x
x
x
.
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