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

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

Answers (1)

Answer : 8 laddoos

Given that a shopkeeper has:

Larger laddoo with radius = 5 cm

Smaller laddoo with radius = 2.5 cm

Volume of sphere =\frac{4}{3}\pi R^{3}                           (where R is the radius)

Volume of 1 larger laddoo =\frac{4}{3}\pi \left ( 5 \right )^{3}

Volume of 1 smaller laddoo =\frac{4}{3}\pi \left ( 2.5 \right )^{3}

Volume of 1 larger laddoo = Total volume of all smaller laddoos formed

Let number of smaller laddoos be n.

Volume of n smaller laddoo =n\left ( \frac{4}{3}\pi \left ( 2.5 \right )^{3} \right )

So,

\Rightarrow \frac{4}{3}\pi \times 5^{3}=n\times\frac{4}{3}\pi \times \left ( 2.5 \right )^{3}

\Rightarrow 125=n \times \left ( \frac{25}{10} \right )^{3}

\Rightarrow n=8 \; laddoos

Hence 8 smaller laddoos can be formed by the larger laddoo.

Posted by

infoexpert23

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