標題:
volume and similar figure
發問:
最佳解答:
1)Let x cm be the level increase : The water increase part volume of the cylinder = x * TT (9)^2 So x * TT (9)^2 = The volume of Six identical metal spheres x * TT (9)^2 = 6 * (4/3)TT (2)^3 81x = 64 x = 64/81 The level increase 64/81 cm 2) Let r be the original radius and R be the increased radius : r^2 : R^2 = 1 : (1+44%) = 1 : 1.44 = 25 : 36 r : R = 5 : 6 , so : The old volume : the new volume = r^3 : R^3 = 5^3 : 6^3 = 125 : 216 the percentage changed in its volume = [(216 - 125) / 125] * 100% = + 72.8% Increased by 72.8%
其他解答:
volume and similar figure
發問:
此文章來自奇摩知識+如有不便請留言告知
1. A cylinder of radius 9cm is filled with some water. Six identical metal spheres of radiu 2cm are sunk completely into the water . By how much does the level increase? 2.If the surface area of a spherical balloon is increased by 44%, find the percentage changed in its volume?最佳解答:
1)Let x cm be the level increase : The water increase part volume of the cylinder = x * TT (9)^2 So x * TT (9)^2 = The volume of Six identical metal spheres x * TT (9)^2 = 6 * (4/3)TT (2)^3 81x = 64 x = 64/81 The level increase 64/81 cm 2) Let r be the original radius and R be the increased radius : r^2 : R^2 = 1 : (1+44%) = 1 : 1.44 = 25 : 36 r : R = 5 : 6 , so : The old volume : the new volume = r^3 : R^3 = 5^3 : 6^3 = 125 : 216 the percentage changed in its volume = [(216 - 125) / 125] * 100% = + 72.8% Increased by 72.8%
其他解答:
全站熱搜
留言列表
