There is a water bottle, which is composed of a cylinder and a cone, with some water in it, and the cap is screwed on tightly. The radius of the bottom of the bottle is 3 cm. The cone is on the top, the height of the water in the bottle is 8cm, the bottle is turned upside down and the cone is facing down, the height of the air part is 5cm. What is the volume of this water bottle?
有一个水瓶，它是由一个圆柱和一个圆锥组成的，里面装有一些水，把盖拧紧．水瓶底面半径是3cm．圆锥在上，瓶内水的高度是8cm，把瓶倒过来圆锥朝下，空气部分的高是5cm．求这个水瓶的容积是多少？
<gadget id="calculator">3 ** 2</gadget>
<output>9</output>

<gadget id="calculator">8 + 5</gadget>
<output>13</output>

<gadget id="calculator">3.14 * 9 * 13</gadget>
<output>367.38</output>

<result>367.38</result>