Question

the base radius of a cone is two times the height. it is melted and recasted into cones of same height. how many cones can be made?​

Answer 1

Answer:      2 Cones can be made.

Step-by-step explanation:

Firstly, We have a cone whose radius is 2 times of its height. then we can write it as h=2r.  

But if it is melted and recasted into cones of same radius and height. then the number of cones formed can be found by area of previous = n into area of the solid after recasting..

Area of previous cone = 1/2b,h, ---> 1/2 into 2h into h. so it becomes h.h or hsquare

now, area of current cone(s)= n.1/2.h.h

So, we get it as------->   h.h=n.1/2.h.h

therefore we get n=2

Therefore we get 2 new cones.