Question

A food supply manufacturer produces metal cans in the shape of right circular cylinders, each with an internal radius of 7 centimeters and an internal height between 8.75 centimeters and 9 centimeters. What is one possible volume, rounded to the nearest cubic centimeter, of a metal can produced by this manufacturer? 7 h 8.75 to 9 A) 905 B) 1370 C) 1180 D) 1530

Answer 1

In order to calculate the volume of a cylinder, we can use the following formula:

$V=\pi r^2h$

Where r is the base radius and h is the height.

Using r = 7, h = 9 and π = 3.14, we have:

$\begin{gathered} V=3.14\cdot7^2\cdot9 \\ V=1384.84 \end{gathered}$

Now, using h = 8.75, we have:

$\begin{gathered} V=3.14\cdot7^2\cdot8.75 \\ V=1346.27 \end{gathered}$

The only option that shows a volume between these two volumes calculated is B) 1370