Question

what is the volume of this cone? round your answer to the nearest hundredth. 13.5 mm 23.8 mm cubic millimeters

Explanation:

Step1: Find the radius.

The diameter is 23.8 mm, so the radius $r=\frac{23.8}{2}=11.9$ mm.

Step2: Recall the volume formula for a cone.

The volume formula of a cone is $V = \frac{1}{3}\pi r^{2}h$, where $h = 13.5$ mm and $r = 11.9$ mm.

Step3: Substitute values into the formula.

$V=\frac{1}{3}\times\pi\times(11.9)^{2}\times13.5$
$V=\frac{1}{3}\times\pi\times141.61\times13.5$
$V = \pi\times141.61\times4.5$
$V=637.245\pi$

Step4: Calculate the value and round.

$V\approx637.245\times3.14159$
$V\approx1992.57$ $mm^{3}$

Answer:

1992.57