Question

A metallic right circular cone 20 cm high and whose
vertical angle is 60° is cut into two parts at the
middle of its height by a plane parallel to its base.
If the frustum so obtained be drawn into a wire of
diameter 1/16 cm, find the length of the wire.
plz explain me step by step

Answer 1

Answer:

7964.4m

Step-by-step explanation:

Let given cone is OCD

and ABCD be the required frustum

Since frustum is drawn into wire

Volume of frustum ABCD = Volume of cylindrical wire

Given OP=20cm

and half height of frustum =10cm=OQ=QP

also Angle QOB=60 degree

We need to find the radius of base and top of the frustum

please check the attached pic for further solution

Answer 2

Length of wire is 7964. 44 m.