Final answer:
By applying the lens formula, 1/f = 1/do + 1/di, with the given focal length of 6.00 cm and object distance of 15.00 cm for a convex lens, the image distance is calculated to be 10 cm away from the lens.
Step-by-step explanation:
To find the distance of the image from the lens when an object is placed in front of a convex lens, we can use the lens formula: 1/f = 1/do + 1/di, where f is the focal length of the lens, do is the distance of the object from the lens, and di is the distance of the image from the lens. In this case, the object is 15.00 cm from the lens, and the lens has a focal length of 6.00 cm.
Applying the formula, 1/6.00 cm = 1/15.00 cm + 1/di. Solving for di gives di = 10 cm. Therefore, the image is 10 cm away from the lens. This is an example of calculating image distance using the lens formula.