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tia_tia [17]
3 years ago
7

The older square-shaped floppy diskettes measured 15 cm on each side. What was the diagonal length of a diskette?

Mathematics
1 answer:
Aloiza [94]3 years ago
5 0

Answer:

15\sqrt{2}

Step-by-step explanation:

The formula we can use is

d=\sqrt{2} *a

Where d is the length of the diagonal and a is the length of the side of the square

Since, the floppies are in square shape and side length is 15, so a = 15

We simply put it into the formula and get length of diagonal.

d=\sqrt{2} *a\\d=\sqrt{2} *15\\d=15\sqrt{2}

Hence, diagonal length is  15\sqrt{2}

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yawa3891 [41]
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Remark
The easiest way to do this is to solve the sphere's volume in terms of pi. When you do this, you can equate that to the formula for a cylinder and cancel the pi values. 

Step One
Find the volume of the sphere.

<em>Givens</em>
r = 6 cm

<em>Formula</em>
V = (4/3) pi r^3

<em>Sub and Solve</em>
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<em>Sub and solve</em>
288 pi cm^3 = pi r^2 * 4.5    Divide both sides by pi
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388 / 4.5 = r^2
64 = r^2                                Take the square root of both sides.
r = square root( 64)
r = 8 <<<<< Answer

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3 years ago
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