**The formula for volume of a cone is:**

#Vco=pir^2h/3#, where #Vco=#Volume (of cone), #r=#radius, and #h=#height.

Since we know that #h=r#, we can write:

#Vco=pir^3/3#

Substituting the value for the volume:

#36=pir^3/3#

Multiply both sides by #3/pi#.

#36xx3/pi=r^3#

#r^3=108/pi#

**The formula for volume of a cylinder is:**

#Vcy=pir^2h#, where #Vcy=#Volume (of cylinder), #r=#radius, and #h=#height.

Since we know that #h=r#, we can write:

#Vcy=pir^3#

From the first calculation, we know the value of #r^3# so we substitute that.

#Vcy=pixx108/pi#

#Vcy=cancelpixx108/cancelpi#

#Vcy=108#

Hence, the volume of the cylinder is #108# cubic units.

**The formula for volume of a sphere is:**

#Vs=4/3pir^3#, where #Vs=#Volume (of sphere), and #r=#radius.

From the first calculation, we know the value of #r^3# so we substitute that.

#Vs=4/3pixx108/pi#

#Vs=4/3cancelpixx108/cancelpi#

#Vs=4/3xx108#

#Vs=4/(1cancel3)xx36cancel108#

#Vs=4xx36#

#Vs=144#

Hence the volume of the sphere is #144# cubic units.