Final answer:
The question requires applying Physics lens formulas to find the image location, magnification, and size of a mole when examined with a magnifying glass.
Step-by-step explanation:
The question involves the magnification properties of lenses in Physics. In specific, it concerns a magnifying glass used to examine a mole on the skin with known dimensions and distances. To solve for the image's location, magnification, and size, we utilize lens formulas. For example, with a 15.0 cm focal length magnifying glass held 13.5 cm from the mole, we can determine the image location using the lens equation 1/f = 1/d0 + 1/di, where d0 is the object distance, and di is the image distance.
The magnification (m) of the lens is calculated using the formula m = -di/d0. To find the size of the image, we then use the magnification formula in conjunction with the actual size of the mole: if the diameter of the mole is 5.00 mm and the magnification is known, the image size will be the product of the two.
As an example, a 1.00 mm object held at the same distance would be magnified to a certain size based on the magnification factor calculated from the lens equation. The concept of surface to volume ratios in mathematics or other scientific disciplines is not directly relevant to this particular question.