A copper sphere of radius 3 cm is melted and re casted into a right circular cone of height 3 cm Fin...........

Quantitative Aptitude ( CCS) Mensuration 3D

A copper sphere of radius 3 cm is melted and re-casted into a right circular cone of height 3 cm. Find the radius of the base of the cone?

2 cm

4 cm

8 cm

6 cm

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Explanation:

Radius of the sphere = 5 cm
Volume of the sphere = (4/3)∏×(r)³
= (4/3)∏×(3)³……………(i)
The given sphere is melted and recast into a right circular cone
Height of the cone = 3cm
Volume of the right circular cone = (1/3)∏×(r)²×h
= (1/3)∏×(r)²×3……………(ii)
Now comparing equation (i) and (ii) we get
r² = 36
r = 6 cm
The radius of the cone is 6 cm