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# Find the volume of each spherical lead shot.

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Math Expert
Joined: 02 Sep 2009
Posts: 58320

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26 Sep 2019, 04:28
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Difficulty:

35% (medium)

Question Stats:

67% (00:45) correct 33% (01:04) wrong based on 14 sessions

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Find the volume of each spherical lead shot. (Assume all spherical lead shots being dropped are identical)

(1) The water level in the cylindrical beaker rises by 1.5 cm when 100 lead shots are dropped.
(2) The radius of the cylindrical beaker is 3 cm.

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26 Sep 2019, 08:04
Bunuel wrote:
Find the volume of each spherical lead shot. (Assume all spherical lead shots being dropped are identical)

(1) The water level in the cylindrical beaker rises by 1.5 cm when 100 lead shots are dropped.
(2) The radius of the cylindrical beaker is 3 cm.

Let volume of each lead shot = V

(1) The water level in the cylindrical beaker rises by 1.5 cm when 100 lead shots are dropped.
Volume of 100 lead shots = Volume of water displaced in cylinder
--> 100V = π*r^2*1.5
--> V = 1.5π*r^2/100.
We don't know the radius value --> Insufficient

(2) The radius of the cylindrical beaker is 3 cm.
Irrelevant information --> Insufficient

Combining (1) & (2),
V = 1.5π*r^2/100 = 1.5π*3^2/100

Sufficient

IMO Option C

Pls Hit kudos if you like the solution
Re: Find the volume of each spherical lead shot.   [#permalink] 26 Sep 2019, 08:04
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