Current location - Health Road Network - Medical equipment enterprise - (2008?Lianyungang) As shown in the figure, the radius of the fan-shaped colored paper is 45cm and the angle of the center of the circle is 40°, use it to make a conical torch model of the side (joint)

(2008?Lianyungang) As shown in the figure, the radius of the fan-shaped colored paper is 45cm and the angle of the center of the circle is 40°, use it to make a conical torch model of the side (joint)

The arc length of the fan is:
40π?45
180
=10π,

Set the radius of the base of the cone to be r,

then 2πr=10π,

Solve: r=5cm,

The bus of the cone, the height of the cone, and the radius of the base form a right triangle,

According to the collinear theorem, the height of the cone = 5cm. can get the height of the cone =

452?52
=
2000
=20< table cellspacing="-1" cellpadding="-1">20005 ≈ 44.7cm.

The height of this cone is about 44.7cm.

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