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How Many Lead Balls, Each of Radius 1 Cm, Can Be Made from a Sphere of Radius 8 Cm? - Mathematics

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प्रश्न

How many lead balls, each of radius 1 cm, can be made from a sphere of radius 8 cm?

योग
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उत्तर

Radius of the sphere = R = 8 cm

Volume of the sphere =`4/3 piR^3 = 4/3pixx8xx8xx8 =4/3pi xx 512  "cm"^3`

Radius of each new ball = r =1 cm

Volume of each ball `=4/3 pir^3 = 4/3pixx 1xx1xx1 = 4/3pixx1 "cm"^3`

Total number of new balls that can be made`= "Volume of sphere "/"Volume of each ball" = (4/3pixx512)/(4/3pixx1) = 512`

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अध्याय 19: Volume and Surface Area of Solids - Exercise 19B [पृष्ठ ८९८]

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आर.एस. अग्रवाल Mathematics [English] Class 10
अध्याय 19 Volume and Surface Area of Solids
Exercise 19B | Q 15 | पृष्ठ ८९८
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