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Difficulty: 505-555 Level,   Arithmetic,                           
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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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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]
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]
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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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 [#permalink]
1mm=0.1CM9
10mm=1cm
so 10000mm= 1000cm
32490/1000= 32.49
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Re: If the volume of a ball is 32,490 cubic millimeters, what is the volum [#permalink]
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

Simply since unit given is mm cubed and we want cm cubed, also conversion is given
Using basic unit conversion concept, multiple by conversion factor per unit exponent,I.e. 32490*01.*0.1*0.1= Ans
Ans- C
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Re: If the volume of a ball is 32,490 cubic millimeters, what is the volum [#permalink]
Omg.. the simple mistake you can make when you get comfortable and not read the units thoroughly :cry:
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Re: If the volume of a ball is 32,490 cubic millimeters, what is the volum [#permalink]
1 centimeter = 10 millimeter

10 mm * 10 mm * 10 mm = 1 cm * 1 cm * 1 cm

\(1000 mm^3 = 1 cm^3\)
\(1 mm^3 = \frac{1}{1000} cm^3\)
\(\frac{32,490}{1000} = 32.49 cm^3\)
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If the volume of a ball is 32,490 cubic millimeters, what is the volum [#permalink]
Top Contributor
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



1 millimeter = 0.1 centimeter

1 cubic millimeter \(= 0.1*0.1*0.1=0.001\) cubic centimeter

The volume of the ball in cubic centimeter \(= 32,490*0.001 = 32.49\)

The answer is C
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If the volume of a ball is 32,490 cubic millimeters, what is the volum [#permalink]
Top Contributor
CONCEPT: Units & Conversion
1mm =0.1 cm

SOLUTION:
=>1mm3 = (0.1)^3 cm3
=>32490 mm3= 32490*(0.001) cm3
=32.49 cm3 (C)

Hope this helps. :) Keep studying. :thumbsup:
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Re: If the volume of a ball is 32,490 cubic millimeters, what is the volum [#permalink]
Now 1 mm = 0.1 cm

Volume = 32490 mm3
= (0.1)^3*32490
= 32490/1000
= 32.49 cm3


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