. Two identical metallic cubes of side 5cm are melted to form a solid cylinder of radius 7cm. What will be the height of the cylin

1 thought on “. Two identical metallic cubes of side 5cm are melted to form a solid cylinder of radius 7cm. What will be the height of the cylin”

1. Answer:

   Given:

   Height (h) of cylindrical part = height (h) of the conical part =7 cm

   Diameter of the cylindrical part =12 cm

   Therefore, Radius (r) of the cylindrical part =

   2

   12

   =6 cm

   So, Radius of the conical part =6 cm

   Slant height (l) of conical part =

   r

   2

   +h

   2

   cm

   =

   6

   2

   +7

   2

   =

   36+49

   =

   85

   ≈9.22 cm.

   The total surface area of the remaining solid = CSA of the cylindrical part + CSA of the conical part + Base area of the circular part

   =2πrh+πrl+πr

   2

   =2×

   7

   22

   ×6×7+

   7

   22

   ×6×9.22+

   7

   22

   ×6×6

   =264+173.86+113.14

   =551 cm

   2

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