Question

brianna models a can of ground coffee as a right cylinder. she measures its height as 6 1/4 in and its radius as 3/4 in. find the volume of the can in cubic inches. round your answer to the nearest tenth if necessary.

Explanation:

Step1: Recall volume formula

The volume formula for a cylinder is $V = \pi r^{2}h$, where $r$ is the radius and $h$ is the height.

Step2: Identify values

Given $r=\frac{3}{4}$ in and $h = 6\frac{1}{4}=\frac{25}{4}$ in.

Step3: Substitute values into formula

$V=\pi\times(\frac{3}{4})^{2}\times\frac{25}{4}=\pi\times\frac{9}{16}\times\frac{25}{4}=\frac{225\pi}{64}$ in³.

Step4: Calculate numerical value

$V=\frac{225\times3.14159}{64}\approx11.0$ in³ (rounded to the nearest tenth).

Answer:

$11.0$