Q. 11 4.2( 14 Votes )

A metallic right circular cone 20 cm high and whose vertical angle is 90° is cut into two parts at the middle point of its axis by a plane parallel to the base. If the frustum so obtained be drawn into a wire of diameter (1/16) cm, find the length of the wire.

Answer :

let ABC be the given cone.

Here, the height of the metallic cone AO = 20cm

Cone is cut into two pieces at the middle point of the axis.

hence, the height of the frustum cone AD = 10cm

Since ∠A is right-angled, so B = C  = 45°

From triangle ADE,


Similarly, from triangle AOB,

The volume of the frustum of a cone

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