標題:
F.3Maths
1)If the volume of a sphere is 4/3兀cm^3 , find the surface area of the sphere. 2)The ratio of the volumes of two cubes is 216 : 64. Find the ratio of their sides. 3)The ratio of the surface areas of two similar solids is 25 : 36. Find the ratio of their volumes.
最佳解答:
Q1 volume of sphere = 4/3πr^3 4/3π = 4/3πr^3 r = 1 surface area of sphere = 4πr^2 = 4π(1)^2 = 4πcm^2 Q2 for similiar figure (sides ratio )^3 = vloume ratio sides ratio = ?(216:64) sides ratio = 3:2 Q3 for similiar figure (sides ratio)^2 = area ratio sides ratio =√(25:36) sides ratio = 5:6 (sides ratio )^3 = vloume ratio volume ration = (5:6)^3 volume ration = 125 : 216
其他解答:
F.3Maths
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發問:1)If the volume of a sphere is 4/3兀cm^3 , find the surface area of the sphere. 2)The ratio of the volumes of two cubes is 216 : 64. Find the ratio of their sides. 3)The ratio of the surface areas of two similar solids is 25 : 36. Find the ratio of their volumes.
最佳解答:
Q1 volume of sphere = 4/3πr^3 4/3π = 4/3πr^3 r = 1 surface area of sphere = 4πr^2 = 4π(1)^2 = 4πcm^2 Q2 for similiar figure (sides ratio )^3 = vloume ratio sides ratio = ?(216:64) sides ratio = 3:2 Q3 for similiar figure (sides ratio)^2 = area ratio sides ratio =√(25:36) sides ratio = 5:6 (sides ratio )^3 = vloume ratio volume ration = (5:6)^3 volume ration = 125 : 216
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