Final answer:
b. (5888 , mm³). The volume of a cone with a height of 25 mm and a base having a diameter of 30 mm is approximately 5888 mm³.
Step-by-step explanation:
To find the volume of a cone, you can use the formula V = (1/3)πr²h, where r is the radius of the base and h is the height of the cone.
In this case, the diameter of the base is 30 mm, so the radius is half of that, which is 15 mm. And the height is given as 25 mm.
Plugging the values into the formula, we get V = (1/3)π(15 mm)²(25 mm) = (1/3)π(225 mm²)(25 mm) = (1/3)π(5625 mm³) ≈ 5888 mm³.
Therefore, the correct answer is (b) (5888 mm³).