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A metallic right circular cone 20 cm hig...

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)c m` find the length of the wire.

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To solve the problem step by step, we will follow these steps: ### Step 1: Understand the Problem We have a right circular cone with a height of 20 cm and a vertical angle of 60 degrees. It is cut into two parts at the middle of its height, creating a frustum. We need to find the length of a wire that can be drawn from the volume of the frustum, given that the diameter of the wire is \( \frac{1}{16} \) cm. ### Step 2: Find the Radius of the Cone The vertical angle of the cone is 60 degrees, which means the semi-vertical angle is 30 degrees. We can use the tangent function to find the radius of the base of the cone. ...
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