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Q.

A right circular cone is  high and radius of its base is  It is melted and recast into another right circular cone with radius of base as . What is the height of the new cone formed?


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a

8.2 cm

b

9.6 cm

c

19.1 cm

d

6.5 cm 

answer is B.

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Detailed Solution

Given- height of the right circular cone = and radius of its base is
Radius of the new right circular cone = 1.5 cm.
The height of the new cone formed can be calculated using the formula,
  Therefore, the height of the new cone is 9.6cm.
Hence, option 2 is the correct option.
 
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