Question

11 in³ 7.92 in³ 31.68 in³ 23.76 in³ 2.75 in 4 in

Explanation:

Step1: Find the radius of the cone

The diameter of the cone is 4 in, so the radius $r=\frac{4}{2}=2$ in.

Step2: Recall the volume formula for a cone

The volume formula of a cone is $V = \frac{1}{3}\pi r^{2}h$, where $h$ is the height of the cone. Here, $h = 2.75$ in and $r = 2$ in.

Step3: Substitute values into the formula

$V=\frac{1}{3}\times\pi\times(2)^{2}\times2.75=\frac{1}{3}\times\pi\times4\times2.75=\frac{1}{3}\times\pi\times11\approx\frac{1}{3}\times3.14\times11=\frac{34.54}{3}\approx11.51\approx11$ in³ (rounded to the nearest whole - number).

Answer:

11 in³