Question

What could you do to the volume of a cylinder to get the volume of a cone with the same circular face? Multiply by 3. B Divide by 3. Multiply by 4. Divide by 4.​

Answer 1

To get the volume of a cone from the volume of a cylinder with the same base and height, you divide the cylinder's volume by 3. The cone's volume is one third of the cylinder's volume because they share the same base area and height.

Step-by-step explanation:

The student is asking how to derive the volume of a cone using the volume of a cylinder with the same base and height. The formula for the volume of a cylinder is V = πr²h, where 'V' is the volume, 'r' is the radius of the circular base, and 'h' is the height of the cylinder. To find the volume of a cone with the same base and height, you need to divide the volume of the cylinder by 3, which results in the formula V = πr²h/3. The reason for this is that a cone is essentially one third of a cylinder when they share the same base area and height.