Question

A cotton candy holder is shaped like a cone. The height is 12 in., and the diameter is 12 in. What is the volume of the holder? Use 3.14 to approximate pi, and express your final answer to the nearest tenth.. ______in3

Answer 1

The formula for the volume of a cone is
$V=\frac{1}3\pi r^2h$
(you can remember it like this: it's literally just 1/3 the volume of a cylinder, just as a pyramid is 1/3 the volume of a prism)

We know that the diameter is 12...the radius is always half the diameter, so 6.
The height is 12.
Let's plug these into our volume formula.

$V=\frac{1}3\pi \times6^2\times12$
$V=\frac{1}3\pi \times36\times12$
$V=\frac{1}3\pi \times432$
$V=144\times \pi$
$V\approx144\times3.14$
$\boxed{V\approx452.16\ in^3}$

Answer 2

that answer was close but I just took the test and its 452.2