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Orlov [11]
3 years ago
15

If the ratio of the radii of two spheres is 1 : 8, what is the ratio of the surface areas of the two spheres?

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
5 0
The surface area of a sphere is 4pi*r^2.

4pi is a constant, so we can ignore it. That means the ratio of the surface areas is determined by the radii squared.

1^2 = 1

8^2 = 64

The answer is 1:64







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Circumference of a circle of radius 13.4cm
Sedbober [7]

Answer:

26.8 pi or approx. 84.19

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student randomly receive 1 of 4 versions(A, B, C, D) of a math test. What is the probability that at least 3 of the 5 student te
alexdok [17]

Answer:

1.2%

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1) 3 receives version A and 2 does not receive version A

2) 4 receives version A and 1 does not receive version A

3) All 5 students receive version A

Then the probability that at-least 3 out of 5 students receive version A is given by,

\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}\times \frac{3}{4}+\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}+\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}

= (\frac{1}{4})^3\times (\frac{3}{4})^2+(\frac{1}{4})^4\times (\frac{3}{4})+(\frac{1}{4})^5

= (\frac{1}{4})^3\times (\frac{3}{4})[\frac{3}{4}+\frac{1}{4}+(\frac{1}{4})^2]

= (\frac{3}{4^4})[1+\frac{1}{16}]

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= 0.01245

Thus, the probability that at least 3 out of 5 students receive version A is 0.0124

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To the nearest tenth, the required probability is 1.2%.

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