Question

metallic solid sphere of radius 10.5 cm is melted and recasted into smaller solid cones, each of radius 3.5cm nd height of 3 cm how many cones will h made ?

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A metallic sphere of radius 10.5 cm is melted and re-casted in to small cones each of radius 3.5cm and height 3cm. Find how many cones can be created?
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Guna 2015-11-03 01:25:01 0
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Solution:
Given:
Radius of Sphere = 10.5 cm
Radius of cone = 3.5cm
Height of cone = 3 cm

Volume of Metallic sphere = 4/3 *Π*r3
=4/3 *Π*10.53
=4849.0482
Volume of metallic sphere for the given Radius 10.5 cm is 4849.0482

Metallic is re-casted into cones After Melting , Radius and Height of One cone is 3.5 and 3 cm resp

Volume of cone = 1/3*Π*r2*h
=1/3*Π*3.52*3
=38.4845

No of cones = Volume of Metallic Sphere/Volume of cone
=4849.0482 / 38.4845
=126 Cones.

126 Cones can be create for the given metallic sphere