An ant comes across a spherical drop of honey with a radius of 1 cm. If one ant can be fed with a droplet of honey of radius 1 mm, how many ants can the big drop feed?

100

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1,000

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10,000

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100,000

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Solution

The correct option is B 1,000
$Number of ants that can be fed using the spherical drop of honey$

$= \frac{Volume of the big drop}{Volume of the droplet that feeds one ant}$

$= \frac{\frac{4}{3} \times π \times (R a d i u s o f t h e d r o p)^{3}}{\frac{4}{3} \times π \times (R a d i u s o f t h e d r o p l e t)^{3}}$

$= \frac{(R a d i u s o f t h e d r o p)^{3}}{(R a d i u s o f t h e d r o p l e t)^{3}}$

$= \frac{(1 c m)^{3}}{(1 m m)^{3}} = \frac{(10 m m)^{3}}{(1 m m)^{3}} = \frac{1000 m m^{3}}{1 m m^{3}}$

$= 1, 000$

Hence, the big drop of honey can feed 1,000 ants.

Suggest Corrections

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