A hemisphere of solid lead with radius 7 cm is melted and recast into a solid right circular cone of base radius 7 cm. Find the height of the cone (in cm).
Class 10Conversion of SolidsMensuration
A28
B13
C15
D14
Step-by-Step Solution
Hemisphere V=32π*73=32π*343. Cone V=31π*72∗h=31π*49∗h. Equate: 32∗343=31∗49∗h⇒686=49h⇒h=14 cm.
Answer: D) 14
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