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505 cones each of diameter 3.5cm …

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505 cones each of diameter 3.5cm and height 3cm are melted and recast into a metallic shpere . Find the diameter of the spere and its surface
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Vedansh Gupta 6 years, 10 months ago

Diameter of cone = 3.5 cm and height = 3 cm Volume of cone =                  =               =  Volume of 505 cones = 504 * 77/8 = 4851 cm^3    These cones are melted and made into a sphere.. Volume of sphere = 4851 cm^3              r³ = 1157.625 r = 10.5 cm Diameter = 21 cm Total surface area of sphere = 4 * π * r²  TSA = 4 * 22/7 * 10.5 * 10.5 = 1386 sq cm
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