Question

If a cylindrical soup can has a diameter of 6 and a height of 10, how many grams of the same soup could a cylindrical can with a diameter of 14 and height 32 hold?

a) 3600π
b) 7200π
c) 14400π
d) 1800π

Answer 1

To calculate the volume of the larger cylindrical can, use the formula V = πr²h, where r is the radius and h is the height. Substitute the values for the radius and height of the larger can into the formula to get the volume.

Step-by-step explanation:

To find the answer, we need to calculate the volumes of both cans. The formula for the volume of a cylinder is V = πr²h, where r is the radius and h is the height.

For the first can with a diameter of 6, the radius is half of the diameter, so r = 6/2 = 3. The height is 10. Plugging these values into the formula, we get V1 = π(3)²(10) = 90π.

For the second can with a diameter of 14, the radius is 14/2 = 7. The height is 32. Plugging these values into the formula, we get V2 = π(7)²(32) = 1568π.

Therefore, the second can can hold 1568π grams of soup.