Question

drag each label to the correct location on the image. not all labels will be used. given the volume of the cone below, identify the radius, height, and diameter. note: figure is not drawn to scale. 6 cm 12 cm 18 cm 10 cm 4 cm 9 cm 5 cm volume: 60π cubic centimeters r = h = d =

Explanation:

Step1: Recall volume formula

The volume formula of a cone is $V=\frac{1}{3}\pi r^{2}h$. We know $V = 60\pi$. So, $\frac{1}{3}\pi r^{2}h=60\pi$. Divide both - sides by $\pi$ to get $\frac{1}{3}r^{2}h = 60$, then multiply both sides by 3 to obtain $r^{2}h=180$.

Step2: Test values

Let's test the given values. If $r = 6$ cm, then $r^{2}=36$. And $h=\frac{180}{r^{2}}=\frac{180}{36}=5$ cm.

Step3: Calculate diameter

The diameter $d = 2r$. Since $r = 6$ cm, then $d=2\times6 = 12$ cm.

Answer:

$r = 6$ cm
$h = 5$ cm
$d = 12$ cm