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A metallic cylinder of diameter 5 cm. and height 3*1/3 cm. is melted and cast into a sphere.What is its diameter. |
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Answer» GIVEN : Diameter of the metallic cylinder(d) = 5 cm Radius(R) = d/2 = 5/2 = 2.5 cm Height of the metallic cylinder(h) = 3 1/3 cm = 10/3 cm Let radius of SPHERE is r cm. The metallic cylinder is melted and CAST into a sphere. So, the VOLUME of the metallic cylinder and the sphere will be same. Volume of the metallic cylinder =Volume of sphere πR²h = 4/3πr³ π× 2.5× 2.5×10/3 = 4/3×π× r³ 6.25 × 10 = 4r³ r³ = 62.5/4 r³ = 15.625 r =³√15.625 r = 2.5 Radius of sphere is 2.5 cm Diameter of the sphere = radius × 2 = 2.5× 2 = 5 cm Hence ,the Diameter of the sphere = 5 cm. HOPE THIS WILL HELP YOU.. |
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