Question

The height of a cone is two times its base diameter. What is the volume of the cone in terms of its base radius ?

Answer 1

Step-by-step explanation:

Cone Volume = 1/3 ×( π r² h)      h = 2 × diameter  =  2 × 2 × r

Cone Volume = 1/3 ×( π r² h)      h = 2 × diameter    diameter = 2r

                                                       =  2 × (2 × r)  

                                                       = 4r

                                                         

Cone Volume = 1/3 ×( π r² 4r)

                        =  (4 π r³ / 3)