Find the hight of a cylinder with a volume of 36 pi cm cubed and a base with a radius of 3 cm

ANSWER

congruence theorems or postulates could be given the reasons CDE = OPQ

are option ( A), (D)

reason for the option ( A)

ASA congurence property

In this property one angle , one sides and one angle of the two triangles are equal.

In the ΔCDE and ΔOPQ

∠DEC = ∠PQO  ( given in the diagram )

CE = OQ      ( given in the diagram )

∠DCE =∠ POQ  ( given in the diagram )

ΔCDE ≅Δ OPQ

By using the ASA congurence property

Thus

ΔCDE = Δ OPQ

Reason of the option (D)

AAS congurence property

In this congurence property two angle and one sides of the two triangle are

equal.

In the  ΔCDE and ΔOPQ

∠DEC = ∠PQO  ( given in the diagram )

∠DCE =∠ POQ  ( given in the diagram )

CE = OQ      ( given in the diagram )

ΔCDE ≅Δ OPQ

By AAS congurence property

ΔCDE = Δ OPQ

Hence proved