Final answer:
The volume of the cylindrical glass is approximately 9.278 cm³ and the radius is approximately 0.415 cm.
Step-by-step explanation:
To find the volume of a cylindrical glass, we can use the formula V = πr²h, where V is the volume, r is the radius, and h is the height of the cylinder. In this case, the height is given as 15 cm and the straw just fits, which means the 17 cm straw is the same as the height of the cylinder. Therefore, h = 17 cm.
To find the radius, we need to rearrange the formula to solve for r. The formula becomes r = sqrt(V/(πh)). Substituting the given values, r = sqrt(9.278 cm³/(3.142 × 17 cm)) ≈ sqrt(0.172 cm) ≈ 0.415 cm.