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Sajjad1994
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An employee of a certain company is creating the smallest possible cub 01 Jun 2021, 21:00
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d: 0.79 A: 0.62
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Difficulty:

95% (hard)

Question Stats:

56% (02:46) correct 44% (02:29) wrong based on 427 sessions

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An employee of a certain company is creating the smallest possible cubic box into which a spherical piece of art will be placed for an exhibit. The longest distance around the piece of art is \(\frac{π^2}{4}\) meters.

Select the approximate value, in meters, of the sphere's diameter d and select the desired value, in meters squared, of the area A of the box's interior base. Make only two selections, one in each column.
d A
0.56
0.62
0.68
0.75
0.79
0.83
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An employee of a certain company is creating the smallest possible cub 02 Jun 2021, 10:04
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Longest Area Around the spherical piece of art is its circumpherence i.e. 2*pi*r

so 2*pi*r= (pi)^2/4

r comes as pi/8 hence Diameter D= pi/4=0.79

Area of Base A is D^2= 0.79^2=0.62
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An employee of a certain company is creating the smallest possible cub 19 Mar 2023, 09:00
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Sajjad1994
An employee of a certain company is creating the smallest possible cubic box into which a spherical piece of art will be placed for an exhibit. The longest distance around the piece of art is \(\frac{π^2}{4}\) meters.

Select the approximate value, in meters, of the sphere's diameter d and select the desired value, in meters squared, of the area A of the box's interior base. Make only two selections, one in each column.

dA
0.56
0.62
0.68
0.75
0.79
0.83

Show SpoilerOA
d: 0.79
A: 0.62

IR Butler 2021 - Practice 2 IR Questions Everyday.
Question # 216, Date : 02-Jun-2021
This question is a part of IR Butler 2021. Click here for Details
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On this kind of question, one has to be careful not to over approximate. For example, using 3 as an approximate value for pi changes the answers.
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