A cylinder and a cuboid are filled with water. When the same stone is completely submerged in the water of the two containers, the water level of the cylinder rises by 8 cm, and the water level of the cuboid rises by 6 cm. If the sum of the bottom areas of the two containers is 98 square centimeters, what is the area of the bottom of the cylinder in square centimeters?
一个圆柱和一个长方体的容器里面装有水，将同一块石头分别完全浸没在两个容器的水中，圆柱的水面上升了8厘米，长方体的水面上升了6厘米．已知两个容器的底面积之和为98平方厘米，那么圆柱的底面积为多少平方厘米．
<gadget id="calculator">3 + 4</gadget>
<output>7</output>

<gadget id="calculator">98 / 7</gadget>
<output>14</output>

<gadget id="calculator">14 * 3</gadget>
<output>42</output>

<result>42</result>