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.

Answer 1

8 laddoos can be made

Solution:

Given that,

A shopkeeper has one laddoo of radius 5 cm

Find volume of big laddoo:

$Volume = \frac{4}{3} \times \pi r^3$

r = 5 cm

Therefore,

$Volume\ of\ big\ laddoo= \frac{4}{3} \times \pi \times 5^3$

With the same material, how many laddoos of radius 2.5 cm can be made

Find volume of small laddoo:

r = 2.5 cm

$Volume\ of\ small\ laddoo= \frac{4}{3} \times \pi \times 2.5^3$

Find number of laddos made:

$Number\ of\ ladoos = \frac{ \text{ volume of big ladoo }}{ \text{ volume of big ladoo }}$

$Number\ of\ ladoos = \frac{ \frac{4}{3} \times \pi \times 5^3}{ \frac{4}{3} \times \pi \times 2.5^3 }\\\\Number\ of\ ladoos = \frac{5^3}{2.5^3}\\\\Number\ of\ ladoos = 8$

Thus 8 laddoos can be made

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