A right circular cone is 3.6 cm high and the radius of its base is 1.6 cm. It is melted and recast into a right circular cone having base radius 1.2 cm. Find its height.
When we melt any shape, and recast into another shape than volume of both shapes remain same.
Radius of the circular cone (r1) = 1.6cm
Height of the circular cone (h1) = 3.6cm
Radius of the new circular cone (r2) = 1.2 cm
Let height of the new circular cone be h2
Volume of the circular cone = volume of the new circular cone
(1.6)2 × (3.6) = (1.2)2 × h2
h2 = 64 cm
So, the height of the new circular cone will be 64cm
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