Question

A designer of soup cans wants to redesign the cans by enlarging the area of the base to three times the original size. The new can should hold the same amount of soup. How should the designer change the height of the can? Make it three times the height of the original can. Keep it the same height as the original can. Make it one third the height of the original can. Make it six times the height of the original can.

Answer 1

The designer should keep the height of the can the same in order to maintain the same amount of soup.

Step-by-step explanation:

In order to keep the same amount of soup, the designer should keep the height of the can the same

. When the base area is enlarged to three times the original size, the volume of the can also increases by three times. Since the volume of a cylinder is equal to the product of its base area and height, the designer should keep the height the same to maintain the same volume. Changing the height to three times the original can would result in a larger volume and the can would no longer hold the same amount of soup.