A metallic sphere of radius 10.5 cm is melted and then recast into smaller cones, each of radius 3.5 cm and height is 3 cm. How many cones are obtained ?
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Given,
Radius of metallic sphere R=10.5 cm
Radius of circular base of smaller cone r=3.5 cm
Hight of cone h=3 cm
Volume of metallic sphere V=4/3 πRcube
=4/3×22/7×(10.5)cube centimeter cube
=4/3×22/7×1157.625 centimeter cube
=88/21×1157.625 cm cube
=88×55.125
volume of metalic sphere V = 4851 cm cube
volume of one cone V = 1/3πr square h
=1/3×22/7×(3.5) square×3 cm cube
=22/7×12.25 cm cube
volume of one cone = 38.5 cm cube
number of cones formed n =
volume os sphere (V) / volume of one cone (v)
n = 4851 cm cube/38.5cmcube
n = 126
Hence the solid sphere can be melted in 126 smaller cones .
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