Find the height of the cylinder,if a hollow sphere of internal & external radii 3 cm & 4 cm respectively is melted into a cylinder of 37 cm.
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Since the cylinder is hollow, we get the area of the curved surface.
The internal surface area :
Let the height of the cylinder be h.
r = 4
Curved surface area = πDh
πD = 3.142 × 8 = 25.136
C. A = 25.136h
The external surface area :
The height = h
D = 6 × 2 = 12`
C. A = 12 × 3.142 × h = 37.704h
Internal surface to external surface :
25.136 /37.704
= 25/38
Approximately :
25 : 38
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