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प्रश्न
A solid metallic sphere of diameter 21 cm is melted and recast into small cones of diameter 3.5 cm and height 3 cm each. Find the number of cones so formed.
उत्तर
Radius of sphere`=21/2 "cm"`
Volume of the metallic sphere`=4/3 pir^3`
`=(4/3pixx21/2xx21/2xx21/2)"cm"^3`
Radius of cone `= 3.5/2 "cm"`
Height of cone = 3 cn
Volume of each small cone`=1/3pi"r"^2"h"`
`=(4/3pixx21/2xx21/2xx21/2)"cm"^3`
Radius of cone`=3.5/2 "cm"`
Height of cone = 3 cm
Volume of each small cone`=1/3pi"r"^2"h"`
`=(1/3pixx35/20xx35/20xx3)"cm"^3`
Number of cones `=("Volume of the metallic sphere")/("Volume of each cone")`
`=(4xxpixx21xx21xx3xx20xx20)/(3xx2xx2xx2xxpixx35xx3xx3xx3)`
= 504
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