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A soda can is basically in the shape of a cylinder with radius $1.3$ inches and height $4.8$ inches. What is its volume?

Use in^3 for cubic inches. Use pi for $\pi\text{.}$

Its exact volume in terms of $\pi$ is:

.

As a decimal approximation rounded to four significant digits, its volume is:

.

Solution

Using the formula for the volume of a cylinder:

$\begin{aligned} V\amp=\pi r^2h\\ \amp=\pi(\substitute{1.3})^2(\substitute{4.8})\\ \amp=8.112\pi\\ \amp\approx25.48 \end{aligned}$

So the can’s volume is $8.112\pi$ cubic inches, which is about $25.48$ cubic inches.