A company makes and sells candy in a cylindrical container for $2.70. In one month, the company makes enough candy to fill 1000 cylindrical containers.The company is changing the shape of the container. They will use cones that have the same base and height as the cylinder. How many cone-shaped containers can the company fill in one month?

Respuesta :

Answer:

3000

Step-by-step explanation:

For a cylinder with radius r and height h, and for a cone with radius r and height h:

volume of cylinder = πr²h

volume of cone = (1/3)πr²h

The difference between the formulas is that the volume of the cone has the factor of 1/3 in the beginning. The rest of the formulas, πr²h, is equal. This means that the volume of a cone is 1/3 the volume of a cylinder with the same radius and height. Since each cone has 1/3 the volume of a cylinder, the company needs 3 times as many cones as cylinders.

Since the company needs 1000 cylindrical containers per month, it will need 3000 conical containers per month.