MathDB
Problems
Contests
National and Regional Contests
China Contests
ASDAN Math Tournament
2016 ASDAN Math Tournament
17
17
Part of
2016 ASDAN Math Tournament
Problems
(1)
2016 Guts #17
Source:
8/14/2022
Consider triangle
A
B
C
ABC
A
BC
with sides
A
B
=
4
AB=4
A
B
=
4
,
B
C
=
11
BC=11
BC
=
11
, and
C
A
=
9
CA=9
C
A
=
9
. The triangle is spun around a line that passes through
B
B
B
and the interior of the triangle (including the edges
B
C
BC
BC
and
B
A
BA
B
A
). Of all possible lines with these constraints, what is the largest possible volume of the resulting solid?
2016
Guts Round