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 ?

Explanation

Given, radius of a spherical laddoo, r =5cm
`therefore` Volume of a spherical laddoo `=(4)/(3) pir^(3) = (4)/(3)pi(5)^(3)`
`=(4)/(3) xx 125pi =(500)/(3)pi cm^(3)`
Now, radius of small laddoo = 2.5 cm
So, volume of small laddoo `= (4)/(3) pi xx (2.5)^(3) = (62.5)/(3) pi cm^(3)`
`therefore` Number of laddoo `= ("Volume of laddoo")/("Volume of small laddoo") =( (500pi)/(3))/((62.5pi)/(3)) =(500)/(62.5) = 8`
Hence, the number of laddoos are 8.