Question

compare the volumes: how many times smaller is the smaller can compared to the original? volume of original: 35.2391 in³ volume of new can: 18.0424 in³

Explanation:

Step1: Recall volume - comparison formula

To find how many times smaller one volume is than another, we use the formula $\frac{V_{small}}{V_{large}}$, where $V_{small}$ is the volume of the smaller can and $V_{large}$ is the volume of the larger can.

Step2: Identify the volumes

The volume of the original (larger) can $V_{large}=35.2391\text{ in}^3$, and the volume of the new (smaller) can $V_{small}=18.0424\text{ in}^3$.

Step3: Calculate the ratio

We calculate $\frac{V_{small}}{V_{large}}=\frac{18.0424}{35.2391}\approx0.512$. This means the smaller can is approximately $0.512$ times the volume of the larger can. To find how many times smaller, we calculate $\frac{1}{0.512}\approx1.95$.

Answer:

The smaller can is approximately $1.95$ times smaller than the original can.