1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
solong [7]
3 years ago
9

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

Mathematics
2 answers:
antoniya [11.8K]3 years ago
5 0

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

FrozenT [24]3 years ago
5 0

The ratio of surface area to volume of the moon is \boxed{\bf 1.9\text{\bf\ times}} of the ratio of surface area to volume of the mars.

Further explanation:

The volume of the spherical shape can be calculated as,

\boxed{\text{Volume of sphere}=\dfrac{4}{3}\pi r^{3}}    

The surface area of the spherical shape can be calculated as,

\boxed{\text{Surface atrea of sphere}=4\pi r^{2}}  

Here, r is the radius of the sphere.

Calculation:

Step 1:

First we will calculate the ratio of surface area of the sphere to the volume of the sphere.  

The ratio of these quantities can be calculated as,

\begin{aligned}\dfrac{\text{Surface area}}{\text{Volume}}&=\dfrac{4\pi r^{2}}{\dfrac{4}{3}\pi r^{3}}\\&=\dfrac{3}{r}\end{aligned}    

Therefore, the ratio of the surface area to the volume of the sphere is \frac{3}{r}.

Step 2:

Second we will calculate the ratio of surface area of the moon to the volume of the moon.

The radius of the moon is 1738\text{ km}.

Substitute r=1738 in the ratio of the surface area to the volume of the sphere.

\begin{aligned}\dfrac{\text{Surface area of the moon}}{\text{Volume of the moon}}&=\dfrac{3}{r}\\&=\dfrac{3}{1738}\end{aligned}    

Step 3:

Third we will calculate the ratio of surface area of the mars to the volume of the mars.

The radius of the mars is 3397\text{ km}.

Substitute r=3397 in the ratio of the surface area to the volume of the sphere.

\begin{aligned}\dfrac{\text{Surface area of the mars}}{\text{Volume of the mars}}&=\dfrac{3}{r}\\&=\dfrac{3}{3397}\end{aligned}  

Step 4:

Now compare the ratios of the surface area to volume of moon with ratios of the surface area to volume of mars.

Divide the ratios of the moon by the ratio of the mars to compare.

\begin{aligned}\dfrac{\text{ratio for moon}}{\text{ratio for mars}}&=\dfrac{1738}{3}\times\dfrac{3}{3397}\\&=\dfrac{1738}{3397}\\&=1.9\end{aligned}  

Clearly we can see that the ratio surface area to volume of the moon is \boxed{\bf 1.9\text{\bf\ times}} of the ratio surface area to volume of the mars.

Learn more:  

1. A problem on equation of the circle brainly.com/question/1506955

2. A problem on distance, speed and timehttps://brainly.com/question/5424148

3. A problem on function brainly.com/question/9590016

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Mensuration

Keywords: Mensuration, volume, surface area, sphere, ratio, moon, mars, comparision, spherical shape, curved surface area, radius of the sphere.

You might be interested in
Find en equation of the tangent line to the curve
valkas [14]
Y=MX+C   C=1  0=m(1)+1 m=-1 Y=-X+1 
7 0
3 years ago
PLEASE ANSWER FIRST GETS BRAINLIEST
notsponge [240]

Answer: 28 red marbles


Step-by-step explanation:

Since there are in total 140 marbles and there are 5 red marbles, just simply divide 140 by 5 and you get your answer. 28 red marbles.

3 0
3 years ago
Read 2 more answers
Evaluate 7(m-11) if m =11
melamori03 [73]

Answer:

0

Step-by-step explanation:

Plug in 11 for m. Remember to follow PEMDAS. First solve the parenthesis, then multiply.

m = 11

7(m - 11) = 7(11 - 11) = 7(0) = 0

0 is your answer.

~

7 0
3 years ago
Read 2 more answers
Please help me brainliest for you :)
Sati [7]

Answer:

single digit, for example= 6

interger power of 10 =10^8

Step-by-step explanation:

it will be written as

6*10^8

spoken as: six time 10 rais to the power of 8

5 0
2 years ago
Warren, a golf fan, was curious about how often professional golfers make successful putts from various distances. He looked at
anzhelika [568]

Answer:

Explained below.

Step-by-step explanation:

A correlation coefficient is a mathematical measure of certain kind of correlation, in sense a statistical relationship amid two variables

Negative correlation is a relationship amid two variables in which one variable rises as the other falls, and vice versa.  

Values amid 0.7 and 1.0 (-0.7 and -1.0) implies a strong positive (negative) linear relationship amid the variables.

It is provided that Warren noticed a strong negative linear relationship between the success rate and putt distances.

This implies that as the putt distances are increasing the success rates are decreasing and as the putt distances are decreasing the success rates are increasing.

4 0
3 years ago
Read 2 more answers
Other questions:
  • Lines C and D below are cut by transversal, t. Which of the following is true about the angles formed? *
    14·1 answer
  • 3<br> (7 x 8) * 10°= Idek
    5·1 answer
  • Could someone help me find the equation and answer the question at the bottom too
    6·1 answer
  • How would I solve this?
    11·1 answer
  • What's the answer? I am really stuck and don't understand at all we haven't even learnt this is class
    7·1 answer
  • Find two decimals that are equivalent to (8x100)+(3x1/10)+(6x1/100)
    6·1 answer
  • Use the Distance Formula to find the distance between (5, - 4) and (0, 8).
    13·1 answer
  • How do you create and solve equations in one variable given a real-world situation?
    5·1 answer
  • The measures of the interior angles of a pentagon are 2x,6x,4x-6,2x-16 and 6x+2. What is the measure, in degrees, of the largest
    6·1 answer
  • Which monomial represents the number of square units in the area of a circle with radius 3x 3 units?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!