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Question
A shopkeeper has one laddoo of radius 5 cm. With the same material, how many laddoos of radius 2.5 cm can be made?
Solution
Volume of laddoo having radius = 5 cm
i.e Volume `(V_1) = 4/3 πr^3`
`V_1 = 4/3 xx 22/7 xx (5)^3`
`V_1 = 11000/21 cm^3`
Also volume of laddoo having radius = 2.5 cm
i.e, `V_2 = 4/3 πr^3`
`V_2 = 4/3 xx 22/7 × (2.5)^3`
`V_2 = 1375/21 cm^3`
∴ No of laddoos = `V_1/V_2 = 11000/1375` = 8
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