3 years ago

HELP ASAP WILL MARK AS BRAINILEST TO WHOEVER GETS IT RIGHT

Mathematics

1 answer:

mixas84 [53]3 years ago

8 0

The correct answer is B. For sure it is. It took a while to solve in my head

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Compare the surface area-to-volume ratios of the moon and mars. express your answer using two significant figures.

antoniya [11.8K]

we know that

For a spherical planet of radius r, the volume V and the surface area SA is equal to

$V=\frac{4}{3} *\pi *r^{3} \\ \\ SA=4*\pi *r^{2}$

The
ratio of these two quantities may be written as

$SAV =\frac{(4*\pi*r^{2})}{(\frac{4}{3}*\pi*r^{3})} \\ \\ SAV =\frac{3}{r}$

we know

$rMoon=1,738Km\\ rMars=3,397 Km$

$\frac{SAV Moon}{SAV Mars} =\frac{3}{rMoon} *\frac{rMars}{3} \\ \\ \frac{SAV Moon}{SAV Mars} =\frac{rMars}{rMoon} \\ \\ \frac{SAV Moon}{SAV Mars} =\frac{3,397}{1,738} \\ \\ \frac{SAV Moon}{SAV Mars} =1.9545$

therefore

the answer is

$1.9$

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