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A shopkeeper has one laddoo of diameter $10 cm$ . With the same material, how many laddoos of diameter $5 cm$ can be made?

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answer is D.

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Detailed Solution

Given- A shopkeeper has one laddoo of diameter

10 cm

.
Now,

d 1 = 10 cm r 1 = 5 cm d 2 = 5 cm r 2 = 2.5 cm

Volume a sphere =

43 ​ π × r 3

Volume of 1  big laddoo = Volume of n no . of smaller laddoos ⇒ 43 ​ π × 53 = n × 43 ​ π × 2.5 3 ⇒ 125 = n × 15.625 ∴ n = 8

Thus, 8 laddoos can be made.
Therefore, the correct option is 4.

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