Question

what is the volume of the figure if ( xy = 8 ) inches and ( ab = 9.5 ) inches? use 3.14 for ( pi ).
round your answer to the nearest tenth at the end of the calculation.
use the keypad to type your answer in the box provided.
the volume of the figure is (square) cubic inches.

Explanation:

Step1: Find the radius of the base

Since \(XY\) is the diameter of the circular base of the cylinder, and the formula for radius \(r\) is \(r=\frac{d}{2}\) (where \(d\) is the diameter). Given \(d = XY=8\) inches, then \(r=\frac{8}{2}=4\) inches.

Step2: Recall the formula for the volume of a cylinder

The formula for the volume \(V\) of a cylinder is \(V=\pi r^{2}h\), where \(r\) is the radius of the base and \(h\) is the height. Here, \(\pi = 3.14\), \(r = 4\) inches, and \(h=AB = 9.5\) inches.

Step3: Substitute the values into the formula

Substitute \(r = 4\), \(h=9.5\), and \(\pi=3.14\) into \(V=\pi r^{2}h\).

$$
LATEXBLOCK0
$$

Answer:

\(477.3\)