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zheka24 [161]
3 years ago
8

HELP! ASAP! PLEASE! WILL GIVE BRAINLIEST!

Mathematics
2 answers:
Orlov [11]3 years ago
8 0

Answer:

First, you have to find out the surface area of the box

=> Sbox = 10 x 5 x 2 + 10 x 8 x 2 + 5 x 8 x 2 = 340

Denote Surface area of the ball as Sball, we have:

    Sball + Sbox = 352.56

=> Sball = 352.56 - Sbox = 352.56 - 340 = 12.56

From the formula to calculate Sball, we have:

    4 x pi x radius^2 = 12.56

=> radius^2 = 12.56/(4 x pi) = 1   (here, pi = 3.14)

=> radius  = 1 in

Hope this helps!

:)

Sergeu [11.5K]3 years ago
5 0

Answer:

A. 1 in

Step-by-step explanation:

Surface area = cuboid + sphere

352.56 = 2[(10×5) + (10×8) + (5×8)] + sphere

Sphere = 12.56

4pi × r² = 12.56

r² = 1

r = 1

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I'm going to suggest that we take these and "UN-simplify" them.

For each choice, divide the numerator by 3 and the denominator by 8.

Look at this:

A).  6/14

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B).  skip B for just a second

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D).  15/35

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-- To simplify  9/24, the top and bottom were divided by 3, giving 3/8.

-- To UN-simplify  3/8, the top and bottom were multiplied by 3, giving 9/24.

-- Choice-B  is the one that's equivalent to 3/8.
______________________________________________

OK.  All of that wasn't really necessary.
All you really need to do is take each choice and simplify it.

A).  6/14
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B).  9/24
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C).  4/9
       Can't be simplified.  Already in simplest form.

D). 15/35
     Divide top and bottom by 5  ===>  3/7
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