?

SAT® Math

Free Version

Upgrade subject to access all content

Moderate

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 } $