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# Find the volume of each spherical lead shot.

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Manager
Status: The journey is always more beautiful than the destination
Affiliations: Computer Science
Joined: 24 Apr 2017
Posts: 53
Location: India
Concentration: Statistics, Strategy
GMAT 1: 570 Q40 V28
GPA: 3.14

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08 Apr 2018, 22:42
3
00:00

Difficulty:

15% (low)

Question Stats:

78% (01:04) correct 22% (00:54) wrong based on 84 sessions

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Find the volume of each spherical lead shot.

(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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Sky is the limit. 800 is the limit.

DS Forum Moderator
Joined: 21 Aug 2013
Posts: 1412
Location: India

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09 Apr 2018, 03:49
Nixondutta wrote:
Find the volume of each spherical lead shot.

(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.

Ideally it should be stated in the question (or question statements) that all spherical lead shots being dropped are identical.

then, after combining the two statements, we have: (sum total of volume of all objects dropped will be equal to the volume of water displaced)

the Volume of 100 spherical shots = Volume of water that rises = π*3*3*1.5. thus Volume per spherical lead shot can be calculated.

Intern
Joined: 06 Mar 2018
Posts: 36
Location: India
GRE 1: Q160 V150
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27 Jun 2018, 07:23
How can you calculate volume without height?
Director
Joined: 27 May 2012
Posts: 633

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20 Sep 2018, 08:48
prags1989 wrote:
How can you calculate volume without height?

Hi prags1989,

Why do you say that height is not given? We do not need the complete height of the beaker.
We are trying to find the volume of 100 spheres and then we divide by 100 to get the volume of one sphere.

Volume of 100 Spheres = Water displaced by 100 spheres
Water displaced by 100 spheres = $$\pi r^2 * h$$ $$\Rightarrow$$$$\pi*3^2 *1.5$$

( Volume of water in beaker up to a height of 1.5cms = $$\pi r^2 * 1.5$$ , where r is the radius of the beaker)
Hope this helps.
Let me know if anything is still unclear.
_________________

- Stne

Find the volume of each spherical lead shot. &nbs [#permalink] 20 Sep 2018, 08:48
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