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A shopkeer has one spherical laddoo of radius 5 cm. With the same amount of material. How many laddoos of radius 2.5 cm cam be made ?

Answer» Volume of one laddoo of radius 5 cm
`= {(4)/(3) pi xx (5)^(3)} cm^(3) = ((500pi)/(3)) cm^(3)`
From this laddoo, let n laddoos of radius 2.5 cm can be made.
Volume of one laddoo of radius 2.5 cm
`= {(4)/(3)pi xx ((5)/(2))^(3)} cm^(3) = ((125pi)/(6)) cm^(3)`
`:. n = ("volume of one laddoo of radius 5 cm")/("volume of one laddoo of radius 2.5 cm")`
`= ((500po)/(3) xx (6)/(125pi)) = 8`
Hence, the required number of laddoos is 8


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