问题如图,急!!!!
2个回答
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解:设圆锥底面半径 r则图一时水面的半和戚径为 r1
r1:r = (h - h1):h=2/3 h:h=2:3,r1=2/3 r
倒置式森灶水面的半径为 r2r2:r = h2:h, r2=r * h2/h
水的体积不变
1/3 π r^2 h - 1/3 π r1^2 * (h - h1) = 1/3 π r2^2 h2
r^2 h - (2/唤春陵3 r)^2 * 2/3 h = (r * h2/h)^2 h2
h - 4/9 * 2/3 h = h2^3 / h
h2^3 = 19/27 * h^3
h2 = ³√19 /3 h
r1:r = (h - h1):h=2/3 h:h=2:3,r1=2/3 r
倒置式森灶水面的半径为 r2r2:r = h2:h, r2=r * h2/h
水的体积不变
1/3 π r^2 h - 1/3 π r1^2 * (h - h1) = 1/3 π r2^2 h2
r^2 h - (2/唤春陵3 r)^2 * 2/3 h = (r * h2/h)^2 h2
h - 4/9 * 2/3 h = h2^3 / h
h2^3 = 19/27 * h^3
h2 = ³√19 /3 h
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