Question

numeric 1 point a coffee cup has a diameter measures 2 inches (in.) and the coffee cup can hold up to 16.49 cubic in. what is the height of the coffee cup? use 3.14 for π. round to the nearest hundredth if necessary. answer

Explanation:

Step1: Find the radius

The diameter $d = 2$ inches, so the radius $r=\frac{d}{2}=\frac{2}{2}=1$ inch.

Step2: Use the volume formula for a cylinder

The volume formula for a cylinder is $V=\pi r^{2}h$. We know $V = 16.49$ cubic - inches, $\pi=3.14$ and $r = 1$ inch. Rearranging the formula for $h$ gives $h=\frac{V}{\pi r^{2}}$.

Step3: Substitute the values

Substitute $V = 16.49$, $\pi=3.14$ and $r = 1$ into the formula for $h$: $h=\frac{16.49}{3.14\times1^{2}}=\frac{16.49}{3.14}\approx5.25$ inches.

Answer:

$5.25$ inches