What is the ratio of the volume of a cone and a cylinder of same radius of base and same height?

1 years ago

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Dibaca: 70

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

, find the length of the wire.

In fig. cone ABC is cut out by a plane parallel to the base FG. DEFG is the frustum so obtained. Let O be the centre of the base of the cone and O’ the centre of the base of the frustum.

It is given that ∠BAC = 60° ∠OAC = 30°
In right triangle AOC, tan

And, C =

Height of the frustum = P'O =

volume of the frustum =

Radius of the wire =

Let h be length of the wire

Volume of wire =

From (iii) and (iv), we get

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