What measurements of a cone can be found if you know the volume and height? Explain how to apply the formula.

Answer:

If you know the volume and height of a cone, you can determine the base area, the radius, and the diameter. To find these, substitute the given values into the formula V (1/3)πr²h. Isolate the unknown variable by multiplying both sides by 3 and dividing by π and the height. Then, take the square root of both sides to solve for the radius. The diameter can be found by doubling the radius, and the base area can be found using the formula B πr².