(1)如图1,求该圆柱形容器的高为多少厘米?
(2)如图2,有一实心铁圆柱体,实心铁圆柱的高为圆柱形容器高的,实心铁圆柱的底面半径比圆柱形容器的底面半径小,求该实心铁圆柱体的体积?(结果保留π)
(3)在(2)的条件下,现有底面半径为5厘米,高为12厘米的实心冰圆锥若干,水变成冰体积会增加,现将实心铁圆柱体放入圆柱形容器,如图3,将冰圆锥化成的水注入圆柱形容器内,注入的水将实心铁圆柱体全部浸没。求至少需要多少个冰圆锥(整数个)?并求此时水面与容器口的距离h为多少厘米?
同类型试题
y = sin x, x∈R, y∈[–1,1],周期为2π,函数图像以 x = (π/2) + kπ 为对称轴
y = arcsin x, x∈[–1,1], y∈[–π/2,π/2]
sin x = 0 ←→ arcsin x = 0
sin x = 1/2 ←→ arcsin x = π/6
sin x = √2/2 ←→ arcsin x = π/4
sin x = 1 ←→ arcsin x = π/2
y = sin x, x∈R, y∈[–1,1],周期为2π,函数图像以 x = (π/2) + kπ 为对称轴
y = arcsin x, x∈[–1,1], y∈[–π/2,π/2]
sin x = 0 ←→ arcsin x = 0
sin x = 1/2 ←→ arcsin x = π/6
sin x = √2/2 ←→ arcsin x = π/4
sin x = 1 ←→ arcsin x = π/2