Answer :
Let's examine each statement one at a time:
1. Deneb has 20 times the volume of the Sun.
This statement is not accurate. To find the volume of a sphere (which a star roughly resembles), you use the formula [tex]\( V = \frac{4}{3} \pi r^3 \)[/tex], where [tex]\( r \)[/tex] is the radius of the sphere. Because Deneb has a radius that is 250 times that of the Sun, the volume would be calculated as [tex]\( (\frac{4}{3} \pi) (250^3 \text{ Sun radii})^3 \)[/tex], which is much larger than just 20 times the Sun's volume.
2. Deneb is 20 times the mass of the Sun.
This statement is accurate. The problem states that Deneb has a solar mass of 20, which means it is indeed 20 times the mass of the Sun.
3. Deneb has 250 times the mass of the Sun.
This statement is not accurate. As stated in the problem, Deneb has a solar mass of 20, not 250, so this statement is false.
4. Deneb is 250 times farther away than the Sun.
This statement is not given in the original problem and cannot be inferred from the information about its mass and volume. Therefore, we cannot confirm if this statement is true or false based on the given information.
In summary, the only accurate statement about Deneb is that it is 20 times the mass of the Sun.
1. Deneb has 20 times the volume of the Sun.
This statement is not accurate. To find the volume of a sphere (which a star roughly resembles), you use the formula [tex]\( V = \frac{4}{3} \pi r^3 \)[/tex], where [tex]\( r \)[/tex] is the radius of the sphere. Because Deneb has a radius that is 250 times that of the Sun, the volume would be calculated as [tex]\( (\frac{4}{3} \pi) (250^3 \text{ Sun radii})^3 \)[/tex], which is much larger than just 20 times the Sun's volume.
2. Deneb is 20 times the mass of the Sun.
This statement is accurate. The problem states that Deneb has a solar mass of 20, which means it is indeed 20 times the mass of the Sun.
3. Deneb has 250 times the mass of the Sun.
This statement is not accurate. As stated in the problem, Deneb has a solar mass of 20, not 250, so this statement is false.
4. Deneb is 250 times farther away than the Sun.
This statement is not given in the original problem and cannot be inferred from the information about its mass and volume. Therefore, we cannot confirm if this statement is true or false based on the given information.
In summary, the only accurate statement about Deneb is that it is 20 times the mass of the Sun.
