problem?????????

Question

the diameter of the sun is about 109 times the diameter of earth. how do their volume compare?

Answer 1

as the cube of 109. V son =109^3 v earth

Answer 2

Volume of a sphere of radius r is 4/3 pi r^3

if diameter is 109 times, so is the radius

So the ratio of the sun's volume to the earths is
(4/3 pi (109r)^3)/(4/3 pi r^3)

Everything cancels out except the numerator has 109^3

So the sun's volume is 109^3 times the earths.

Answer 3

Assuming that both are perfect spheres (which they aren't really in actuality):

V = 4/3 pi r^3
V = 4/3 pi (d/2)^3
V = 1/3 pi d^3

Therefore:

Vs / Ve = {1/3 pi ds^3} / {1/3 pi de^3}
Vs / Ve = ds^3 / de^3
Vs / Ve = (109de)^3 / de^3
Vs / Ve = 109^3 de^3 / de^3
Vs / Ve = 109^3
Vs = 109^3 Ve
Vs = 1295029 Ve

Therefore the sun has 1 295 029 times the volume of the Earth.

Answer 4

the volume of a sphere is 4/3*pi*r^3


so lets say the diameter of earth is 1
then the radius is 1/2

Ve=4/3*pi*.5^3
Ve=0.52 Units

Diameter of the sun is 109
then the radius is 54.5

Vs=4/3*pi*54.5^3
Vs=677731.8 Units

that is a very big difference

Vs is approx 1.3 million times bigger than Ve

Answer 5

Volume = (pi/6) d^3 so the volume ratio is the cube of the diameter ratio = 1295029 = 1.3 e6.

Answer 6

? tough one first thought would be 109x greater but i am sure there is amore complicated equation needed with diamiter informatiom on the 2 sphears