# The ratio of the lengths of the radii of two spheres is 5 : 8. What is the ratio of the surface area of the smaller sphere to

###### Question:

1

5

8

25

40

64

125

512

## Answers

1

Step-by-step explanation:

i just did this

25 and 64 should be correct

25/64

Step-by-step explanation:

25:64

Step-by-step explanation:

surface : 4×pi×R^2

R1 = 5x

R2 =8x

4piR1^2 / 4piR2^2 = R1^2/R2^2 = 5x^2/8x^2 = 25x^2/64x^2 = 25/64

it's 25:64

Step-by-step explanation:

This is 100% the answer because I took a test with this question and that was the correct answer

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The ratio of the surface area of the smaller sphere to the surface area of the larger sphere is 25:64.

Step-by-step explanation:

The surface area of square is given by formula as follows :

[tex]A=4\pi r^2[/tex]

r is radius of sphere

The ratio of the lengths of the radii of two spheres is 5 : 8. The ratio of the surface area of the smaller sphere to the surface area of the larger sphere is :

[tex]\dfrac{A_1}{A_2}=\dfrac{r_1^2}{r_2^2}[/tex]

Here, [tex]\dfrac{r_1}{r_2}=\dfrac{5}{8}[/tex]

[tex]\dfrac{A_1}{A_2}=\dfrac{25}{64}[/tex]

So, the ratio of the surface area of the smaller sphere to the surface area of the larger sphere is 25:64.