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

Explanation

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.`