17. A solid metallic sphere of diameter 21 cm is melted and recast into a number of smaller cones, each of
diameter 3.5 cm and height 3. cm. Find the number of cones so formed.
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Answer:
504 cones
Step-by-step explanation:
Volume of sphere = Volume of a cone x number of cones
Let number of cones be = n
A.T.Q
4 /3πr³= 1/3πr²h
4/3 x 22/7 x 21/2 x 21/2 x 21/2 = 1/3 x 22/7 x 3.5/2 3.5/2 x 3 x N
On Solving it we get n=504
Hope it helped :)
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