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If the volume of a ball is 32,490 cubic millimeters, what is the volum

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If the volume of a ball is 32,490 cubic millimeters, what is the volum  [#permalink]

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New post Updated on: 08 Feb 2016, 17:06
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If the volume of a ball is 32,490 cubic millimeters, what is the volume of the ball in cubic centimeters? (1 millimeter = 0.1 centimeter)

(A) 0.3249
(B) 3.249
(C) 32.49
(D) 324.9
(E) 3,249

Source: OG 2016, PS #126

Originally posted by Anonamy on 08 Feb 2016, 16:55.
Last edited by ENGRTOMBA2018 on 08 Feb 2016, 17:06, edited 1 time in total.
Added the complete information of the source.
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If the volume of a ball is 32,490 cubic millimeters, what is the volum  [#permalink]

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New post 08 Feb 2016, 20:26
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Anonamy wrote:
If the volume of a ball is 32,490 cubic millimeters, what is the volume of the ball in cubic centimeters? (1 millimeter = 0.1 centimeter)

(A) 0.3249
(B) 3.249
(C) 32.49
(D) 324.9
(E) 3,249

Source: OG 2016, PS #126


hi,

1 millimeter = 0.1 centimeter..
so 10 mm= 1 cm..
\(10mm*10mm*10mm=1cm*1cm*1cm\)..
1000cu mm= 1 cu cm..
so 1 cu mm = \(\frac{1}{1000}\) cu cm..
\(32490\) cu mm =\(\frac{32490}{1000}\) cu cm = \(32.49\) cu cm
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Re: If the volume of a ball is 32,490 cubic millimeters, what is the volum  [#permalink]

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New post 08 Feb 2016, 17:05
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Anonamy wrote:
If the volume of a ball is 32,490 cubic millimeters, what is the volume of the ball in cubic centimeters? (1 millimeter = 0.1 centimeter)

(A) 0.3249
(B) 3.249
(C) 32.49
(D) 324.9
(E) 3,249


This is not a 700 level question. I have changed the tag to sub-600 level and added the complete source information.

As for this question, remember that 1 cm = 10 mm

Thus, \(32490 {mm}^3 = 32490 * 10^{-3} {cm}^3 = 32.49 {cm}^3.\)

C is thus the correct answer.

Hope this helps.
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If the volume of a ball is 32,490 cubic millimeters, what is the volum  [#permalink]

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New post 08 Feb 2016, 17:09
Apologies, I intended to categorize it as 600 level. This question is #126 out of 175 in OG Quant 2016.
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Re: If the volume of a ball is 32,490 cubic millimeters, what is the volum  [#permalink]

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New post 27 Feb 2018, 10:07
Anonamy wrote:
If the volume of a ball is 32,490 cubic millimeters, what is the volume of the ball in cubic centimeters? (1 millimeter = 0.1 centimeter)

(A) 0.3249
(B) 3.249
(C) 32.49
(D) 324.9
(E) 3,249


Since 1 millimeter = 0.1 centimeter, then 1 millimeter^3 = 0.1 x 0.1 x 0.1 centimeter = 0.001 centimeter^3

Thus, 32,490 cubic millimeters = 32,490 x 0.001 = 32.49 cubic centimeters

Answer: C
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Re: If the volume of a ball is 32,490 cubic millimeters, what is the volum  [#permalink]

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New post 24 Mar 2018, 02:23
Anonamy wrote:
If the volume of a ball is 32,490 cubic millimeters, what is the volume of the ball in cubic centimeters? (1 millimeter = 0.1 centimeter)

(A) 0.3249
(B) 3.249
(C) 32.49
(D) 324.9
(E) 3,249

Source: OG 2016, PS #126


hi there :)

is my approach correct ?

1 cm = 10 mm

10 cm = 100 mm

100 cm = 1000 mm

hence:

32,490 / 1000 = 32.49
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Re: If the volume of a ball is 32,490 cubic millimeters, what is the volum  [#permalink]

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New post 24 Mar 2018, 07:21
Anonamy wrote:
If the volume of a ball is 32,490 cubic millimeters, what is the volume of the ball in cubic centimeters? (1 millimeter = 0.1 centimeter)

(A) 0.3249
(B) 3.249
(C) 32.49
(D) 324.9
(E) 3,249

Source: OG 2016, PS #126

\(1\) \(millimeter\) = \(\frac{1}{10}\) \(centimeter\)

So, \(1\) \(millimeter ^3\) = \((\frac{1}{10})^3\) \(centimeter^3\)

So, 32,490 cubic millimeters = \(\frac{32,490}{1000}\) \(centimeter^3\)

Answer must be (C) 32.49
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Re: If the volume of a ball is 32,490 cubic millimeters, what is the volum &nbs [#permalink] 24 Mar 2018, 07:21
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