The radii of Earth and Pluto are 6,371 kilometers and 1,161 kilometers, respectively. Approximately how many spheres the size of Pluto does it take to have the same volume as Earth?

Answers

Answer 1

Answer: The volume of a sphere is (4/3) (pi) (radius cubed).

The volume of one sphere divided by the volume of another one is

(4/3) (pi) (radius-A)³ / (4/3) (pi) (radius-B)³

Divide top and bottom by (4/3) (pi) and you have (radius-A)³ / (radius-B)³
and that's exactly the same as
( radius-A / radius-B ) cubed.

I went through all of that to show you that the ratio of the volumes of two spheres
is the cube of the ratio of their radii.

Earth radius = 6,371 km
Pluto radius = 1,161 km

Ratio of their radii = (6,371 km) / (1,161 km)

Ratio of their volumes = ( 6,371 / 1,161 ) cubed = about 165.2

Note:
I don't like the language of the question where it asks "How many spheres...".
This seems to be asking how many solid cue balls the size of Pluto could be
packed into a shell the size of the Earth, and that's not a simple solution.
The solution I have here is simply the ratio of volumes ... how many Plutos
can fit into a hollow Earth if the Plutos are melted and poured into the shell.
That's a different question, and a lot easier than dealing with solid cue balls.

Answer 2

Answer:

Answer:

plato is 165.2

Step-by-step explanation:

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Plz factor
2x^2+17x-21

Answers

2x^2 + 17x -21 cannot be factored nicely, if it was +21 you could, but the zeros for this have to gotten using the quadratic equation

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2a
so

-17 +/- (17^2-4(2)(-21))^1/2
2(2)
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so the zeros are roughly 1.094 and -9.594

Form a union for the following sets. K = {2, 3, 5, 8}
L = {3, 5, 7}
a. { }
b. {3, 5}
c. {2, 3, 5, 7, 8}
d. {2, 7, 8}

Answers

Union of the represented sets should include all the sets without repetition
Here is an example for substituton $A= {1,2,3} B={3,4,5} A union B = {1,2,3,4,5}$ . So, logically, the answer is c. {2, 3, 5, 7, 8}

AuBuCuDuKuL={2,3,5,7,8}

What is the ratio of 33/36

Answers

all you have to do is find a number that both of them is divisible by and divide it by them. for example, when you divide it by 3, you will get 11/12

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Help! I'm not sure how to set this up. Here is the question; Faye paid $16.00 for a pair of shorts that were 20% off. What was the original price of the shorts.

Answers

80/100*n=16

80n=1600

n=1600/80=160/8=20

---------------------------------------

Original price: $20.00

The original price of the shorts would have been $19.20. To find this answer you would have to multiply and add.
First thing I did was turn 20% into a decimal by moving the decimal to the left 2 times.(.20)
Second thing I did was multiply 16.00*.20. Which came up to be 3.20.
The third thing that you would have to do is add 3.20 to the price Faye paid for the shorts.
3.20+16.00
And the original price would have came up to $19.20
Hope this helps:)

Jaclyn has 30 times a many apples as her sister he's is has 8 sticker how many stickers does Jaclyn have

Answers

Answer: 22

Step-by-step explanation:

it is 22 because 30-8=22

If Jaclyn has 30 times as many apples as her sister and her sister has 8 stickers, we can find out how many stickers Jaclyn has by multiplying her sister's number of stickers by 30.

Stickers Jaclyn has = 30 * (Stickers her sister has)

Stickers Jaclyn has = 30 * 8

Stickers Jaclyn has = 240

So, Jaclyn has 240 stickers.

Find the probability of this event if one of these cards is drawn at random.

Not selecting an S.

S

U

M

M

E

R

Answers

There are 6 cards. If only 1 of them is an "S," then there is a 5/6 chance of obtaining a card that isn't a "S."

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