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in Surface Areas And Volumes by (49.2k points)
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27 drops of water form a big drop of water. If the radius of each smaller drop is 0.2 cm, then what is the radius of the bigger drop ? 

(a) 0.4 cm 

(b) 0.6 cm 

(c) 0.8 cm 

(d) 1.0 cm

1 Answer

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Best answer

(b) 0.6 cm.

By the given condition, 

27 × Volume of smaller drops = Volume of bigger drop 

⇒ 27 x \(\frac43πr^3 = \frac43πR^3\) 

⇒ 27 × \(\frac43π(0.2)^3 = \frac43πR^3\) ⇒ R= (3 x 0.2)3R = 0.6cm.

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