Final answer:
To find the volume of the new cans, we need to calculate the new dimensions by multiplying the current dimensions by the multiple of 1.12. Using the formula for the volume of a cylinder, we can calculate the volume of the new cans. Rounding to the nearest hundred, the new cans will hold approximately 476.44 cm³ more than the current cans.
Step-by-step explanation:
To find out how much more the new cans will hold, we first need to calculate the volume of the new cans. The new dimensions can be found by multiplying the current dimensions by the multiple of 1.12. The new height will be 12 cm x 1.12 = 13.44 cm, and the new diameter will be 6 cm x 1.12 = 6.72 cm. To find the volume of the new cans, we can use the formula for the volume of a cylinder, which is V = π * r^2 * h, where π is approximately 3.14, r is the radius (half the diameter), and h is the height. Using the new dimensions, the radius will be 6.72 cm / 2 = 3.36 cm, and the volume of the new cans will be V = 3.14 * (3.36)^2 * 13.44 = 815.56 cm³. Therefore, the new cans will hold approximately 815.56 cm³ - 339.12 cm³ = 476.44 cm³ more than the current cans. Rounding to the nearest hundred, the answer is 476.44 cm³, which is option a.
Learn more about Volume of Cylinders