a solid metallic sphere of diameter 21 cm is meted and made into a smaller cones each of diameter 3.5c and height 3cm find the number of cones so formes
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SOLUTION: 504 cones
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Step-by-step explanation:
Radius of Sphere =21/2 cm
Volume of sphere =4/3 Pi r ³
Therefore, Volume of sphere = 4/3 Pi (21/2)³ cm³
=4851 cm³ ... (1)
Let the total no. of cones formed be x
Radius of cone = 3.5/2 cm
Height of cone = 3 cm
Volume of cone = 1/3 Pi r² h
= 9.625cm ³ .....(2)
From equation 1 and 2
4851 cm ³ = x (9.625cm³)
x= 504 cones
Hope this helps... :)
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