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1)The surface area of a solid metallic sphere is 616 cm2. It is melted and recast into smallerspheres of diameter 3.5 cm. How many such spheres can be obtained?2)The surface area of a solid metallic sphere is 1256 cm2. It is melted and recast into solidright circular cones of radius 2.5 cm and height 8 cm. Calculate:(i) the radius of the solid sphere.(ii) the number of cones recast. (Use π= 3.14). |
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Answer» Answer:Hope this is help full Step-by-step EXPLANATION: Solution:- Surface area of the sphere = 4πr² 616 = 4*22/7*r² r² = (616*7)/88 r² = 4312/88 r² = 49 r = 7 cm Radius of the sphere is 7 cm As sphere is melted and recast into a cone then, Volume of the sphere = Volume of the cone 4/3πr³ = 1/3πr²h 4/3*22/7*7*7 = 1/3*22/7*r²*28 4/3*7*7*7 = 1/3*r²*28 r² = 49 r = 7 cm So, radius of the cone is 7 cm and DIAMETER = 7*2 = 14 cm Answer. |
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