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Find the number of smaller sphere required if the radius of the larger ball is four times the radius of the smaller ball.
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According to the question, Let the radius of the smaller ball be = r cm Now, the radius of the larger ball be = 4r cm Volume of the smaller sphere = (4/3)∏×r3 …….(i) Volume of the larger sphere = (4/3)∏×(4r)3 ….(ii) Now, dividing equation (ii) by (i) .we get, Number of smaller balls (n) n =(4/3)∏×(4r)3/(4/3)∏×(r)3 = 64 The volume of the larger sphere is 8 times the volume of the smaller ball. Curved surface area of the smaller sphere = 4∏×(r) ……..(iii) Curved surface area of the larger sphere = 4∏×(2r)4r ……..(iv) Now, dividing equation (iv) by (iii). We get, Number of smaller spheres (N) N = 4∏×(2r)2 / 4∏×(r)2 = 4 The curved surface area of large ball is four times the curved surface area of the smaller ball
By: MIRZA SADDAM HUSSAIN ProfileResourcesReport error
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