CBSE Class 10-Mathematics: Chapter –13 Surface Areas and Volumes Part 19
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Question 14:
A metallic right circular cone high and whose vertical angle is 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 , find the length of the wire.

A Metallic Right Circular Cone
Answer:
Diameter of the wire
Radius of the wire
Let the length of the wire be .
Then, Volume of the wire
According to the question,
Question 15:
The diameter of metallic sphere in . The sphere in melted and drawn into a wire of uniform cross section. If the length of wire is , find its radius.
Answer:
Diameter of sphere
Volume
Let be radius of wire Volume of wire
Question 16:
Water flows at the rate of metre per minute through a cylindrical pipe having its diameter at . How much time will it take to fill a conical vessel where diameter of base is and depth ?
Answer:
We have volume of the water that flows out in one minute
Volume of cylinder of diameter and length .
Volume of cylinder
Volume of conical vessel
Suppose the conical vessel is filled in minutes
Volume of the water flows out in minutes
Volume of conical vessel