Question

The volume of a cylindrical container

Answer 1

Answer:

A. $\frac{3}{4}\textrm{ gal}$

Step-by-step explanation:

Given:

Volume of the cylindrical container before dilation, $V_{i}=1\textrm{ gal}$

Scale factor of the dilation, $SF=\frac{3}{4}$

Therefore, the volume of the dilated cylinder is given as:

$V_{f}=SF\times V_{i}$

Plug in 1 gal for $V_{i}$ and $\frac{3}{4}$ for SF. Solve for $V_{f}$. This gives,

$V_{f}=\frac{3}{4}\times 1\\V_{f}=\frac{3}{4}\textrm{ gal}$

Therefore, the volume of the dilated cylinder is $\frac{3}{4}$ gallons.