A shopkeeper has one laddoo of radius 5 cm.
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 $\left(V_{1}\right)=4 / 3 \pi r^{3}$

$\left(V_{1}\right)=4 / 3 \times 22 / 7 \times(5)^{3}$

$\left(\mathrm{V}_{1}\right)=11000 / 21 \mathrm{~cm}^{3}$

Also Volume of laddoo having radius 2.5 cm

i.e Volume $\left(V_{2}\right)=4 / 3 \pi r^{3}$

$\left(V_{2}\right)=4 / 3 \times 22 / 7 \times(2.5)^{3}$

$\left(\mathrm{V}_{2}\right)=1375 / 21 \mathrm{~cm}^{3}$

Therefore number of laddoos = V1/V= 11000/1375 = 8

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