Solid Geometry Diagnostic Test

6 Minutes — 5 Questions

Directions

Solve   the following   problems.   Select  the best    answer  choice  for each    question.

Reference   Information:    Use the following   formulas    as  needed.

Right   circular    cone:   If  r   =   radius  and h   =   height, then

and if  c   =   circumference   of  the base    and ℓ   =   slant   height, then

Sphere: If  r   =   radius, then

and Surface Area    =   4πr^2.

Pyramid: If B   =   area    of  the base    and h   =   height, then

1 . A   right   circular    cone    and a   sphere  have    equal   volumes.    If  the cone    has radius  x   and height

2 x,    what    is  the radius  of  the sphere?