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# A Cone Containing a Pyramid

SATMAT-YIKOKX

A right circular cone has diameter $d$ and height $h$.

Which of the following expressions correctly represents the volume of the largest regular square pyramid that can be completely contained within this cone?

A

$\cfrac { { d }^{ 2 }h }{ 3 }$

B

$\cfrac { { d }^{ 2 }h }{ 6 }$

C

$\cfrac { { d }^{ 2 }h }{ 12}$

D

$\cfrac { { d }^{ 2 }h\sqrt { 2 } }{ 12 }$