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2
SMT 2023 Geometry #2
SMT 2023 Geometry #2
Source:
August 9, 2023
geometry
3D geometry
Problem Statement
Triangle
△
A
B
C
\vartriangle ABC
△
A
BC
has side lengths
A
B
=
39
AB = 39
A
B
=
39
,
B
C
=
16
BC = 16
BC
=
16
, and
C
A
=
25
CA = 25
C
A
=
25
. What is the volume of the solid formed by rotating
△
A
B
C
\vartriangle ABC
△
A
BC
about line
B
C
BC
BC
?
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