Solving Problems with Volume Formulas
Geometry · Flashcards · Application
GEOMETRY · FLASHCARDS
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QUESTION
Identify the error: using
V
=
π
r
2
l
V=\pi r^2l
V
=
π
r
2
l
for a cone, where
l
l
l
is slant height. What should be used?
QUESTION
A sphere's radius doubles. By what factor does the volume change?
QUESTION
A cone's radius doubles and height doubles. By what factor does
V
V
V
change?
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ANSWER
Factor of
8
8
8
.
V
∝
r
2
h
V \propto r^2h
V
∝
r
2
h
, so
(
2
)
2
⋅
2
=
8
(2)^2 \cdot 2 = 8
(
2
)
2
⋅
2
=
8
times volume.
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