Advertisements
Advertisements
प्रश्न
A solid metallic sphere of diameter 21 cm is melted and recast into small cones, each of diameter 3.5 cm and height 3 cm. Find the number of cones so formed.
संख्यात्मक
Advertisements
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
shaalaa.com
क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
