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Vinil7 [7]
3 years ago
12

A sphere with a radius of 5 cm fits inside a box. Every face of the box is tangent to the sphere. What is the ratio of the volum

e of the box to the volume of the sphere?
A.) 6 : pi
B.) 3 : 4pi
C.) 2 : 3pi
D.) 1 : 12pi
Mathematics
2 answers:
BARSIC [14]3 years ago
8 0
Volume of box with side length of 5 = 5^3 = 125

Volume of sphere = (4/3)*pi*5^3 = (4/3)pi * 125

Ratio = 125/(4pi/3)*125  = 1/(4pi/3) = 3/(4pi)

Answer: B
snow_lady [41]3 years ago
8 0

The answer is 6 : pi. Took the test and got it right.

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Help picture below problem 13
kirza4 [7]

The Pythagorean theorem is the idea that the sum of the two legs which are both squared is equal to the hypotenuse's length squared.

     *<em>look at the image I attached for a better explanation</em>

By looking at the picture, we are missing the leg's length, and by using the Pythagorean theorem, we get the equation

    ?^2+5^2 = 13^2\\?^2 + 25 = 169\\?^2 = 144\\? = 12

Thus the <u>missing side length is 12 cm</u>

Hope that helps!

8 0
2 years ago
If it is 4:40 what time would it be a half of hour later
kkurt [141]

Answer:

6:10.

Step-by-step explanation:

4 : 40 + 1 : 30 = 5 : 70

because  60 minutes make an hour and on the minutes side has more than 60, we have to minus 60 minutes and carry the one hour to the other side which is the Hour side.

5 : 70........ minus 60 to get 10.

5 + 1 to get 6.

therfore it is 6 : 10

4 0
3 years ago
What is the area the following circle either enter an exact answer in terms of pie or use 3.14 for pie enter your answer as a de
statuscvo [17]

Answer:

it will be 78.5 units ²

3 0
3 years ago
Read 2 more answers
Is it any of the following
andreev551 [17]

Answer:


Step-by-step explanation: For me, I would say C because it says Matt had 3 times as many stamps as Bria did and the other two isnt showing multiplying. They are mostly adding.


8 0
3 years ago
If a math student Square both legs of a right triangle and the results were 441 and 400, what is the length of the hypotenuse of
kolezko [41]

Answer:

29 \\

Solution:

According to the Pythagorean Theorem, is that the square of the hypotenuse is equal to the sums of squares of the two legs in which if you take the square root of the sum you are going to get the actual length of the hypotenuse but the two legs are already squared so all you have to do now is sum them and take the square root of it.

\sqrt{441  +  400}  \\  \sqrt{841} \\ 29

7 0
3 years ago
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