AP物理suppose we are asked to find volume of a solid whose base is the circle

题目

AP物理suppose we are asked to find volume of a solid whose base is the circle
suppose we are asked to find volume of a solid whose base is the circle x^2+y^2=4,and where cross-sections perpendicular to the x-axis are all square whose sides lie on the base of the circle.how would we find the volume?

答案

已知一立体有圆底,公式为 x^2 + y^2 = 4,且与X轴垂直的切面为正方形,边在圆上/内.
求体积.
看楼主既然是AP的,那么就知道 a^2 + y^2 = 4 的圆圆心为在原点,半径为2.既然切面垂直于X轴,那么指的就是纵切面.既然这圆柱体的纵切面为正方形,说明高于直径相等,为4.圆柱体体积公式为底乘高,就等于 2 x pi x 2 x 4 = 16 pi,按要求化简或保留exact value.
这是物理吗?