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A solid cone of radius 5 cm and height 8 cm is melted and made into small spheres of radius 0.5 cm. Find the number of spheres formed.

Asked by Topperlearning User 26th October 2017, 12:42 PM
Answered by Expert
Answer:

begin mathsize 12px style Volume space of space solid space cone equals 1 third πr squared straight h equals 1 third cross times 22 over 7 cross times 5 squared cross times 8 equals 1 third cross times 22 over 7 cross times 25 cross times 8
Volume space of space small space sphere equals 4 over 3 πr cubed equals 4 over 3 cross times 22 over 7 cross times open parentheses 5 over 10 close parentheses cubed equals 4 over 3 cross times 22 over 7 cross times 125 over 1000
Number space of space spheres space formed
equals fraction numerator Volume space of space cone over denominator Volume space of space sphere end fraction
equals fraction numerator 1 third cross times 22 over 7 cross times 25 cross times 8 over denominator 4 over 3 cross times 22 over 7 cross times 125 over 1000 end fraction
equals 400
Thus comma space 400 space spheres space are space obtained space by space melting space straight a space solid space cone. end style

Answered by Expert 26th October 2017, 2:42 PM
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