two spheres have radii of 3 cm and 5 cm. what is the ratio between the areas of their greHELP on math please!?

Question

two spheres have radius of 3 cm and 5 cm. what is the ratio between the areas of their great circles?

Answer 1

Hey, the simple rule of thumb is area of any thing is proportional to square of length and similarly the volmue to the cube of the length.

Hence in your case: ratio of aeas is : (3/5)^2 = 9/25.

Answer 2

A great circle is a circle that goes through the center of the sphere. The radius of a great circle is the same as the radius of the sphere.

The formula for the area of a circle is:
A = pi * r^2

The two areas are:
A1 = 3^2 pi = 9 pi
A2 = 5^2 pi = 25 pi

The ratio between the two is 9 pi / 25 pi.

The pi cancels out, so the answer is:
9/25

A quick way to do this is just square the two radii and write them as a ratio:
9:25

Answer 3

Since the radius is squared to find the surface and cubed to find the volume, the ratio would be 3^2:5^2 or 9:25 for surface and 3^3 : 5^3 or 27:125 for volume.

Answer 4

9:25

Answer 5

to find the ratio of there VOLUMES you cube each #. therefore it would be 27 : 125. surface area would be squared or 9 : 25.

Answer 6

area of the greatest circle radius 3 is
A1=pi*3*3

area of the greatest circle radius 5 is
A2=pi*5*5

The ratio of the areas =A1/A2=pi*9/(pi*25)=9/25
or A2/A1=pi*25/(pi*9)=25/9

The answer is 9/25 or 25/9

Answer 7

the surface area of a sphere is 4pi r^2
Area1=4x22/7x3x3

Area2=4x22/7x5x5

Ratio of areas=3x3/5x5=9/25

I dint understand what exactly u were asking.area of their great circles does not make sense.Rephrase ur question.

Answer 8

if you are talking about surface area . . .
A3=4*pi*(3^2);
A5=4*pi*(5^2);
therefore A3/A5=3^2/5^2=9/25

Answer 9

~My teacher didn't know this one either. Why do they keep asking us this stuff and expecting us to do their work for them.