As shown in the figure, the radius of the fan-shaped paper is 15cm, the center angle is 120 ° and it is used to make the side of a cone model. Calculate the height and side area of the cone (regardless of the loss at the joint, the result retains the root sign)

The arc length of the sector is L = n π R180 = 10 π cm, the circumference of the cone bottom is 10 π cm, the radius of the cone bottom is 10 π △ 2 π = 5cm, the height of the cone bottom is 152 − 52 = 102 (CM), the side area of the cone is π × 5 × 15 = 75 π (cm2), a: the height of the cone is 102CM, and the side area is 75 π cm2

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