what is the volume of the composite figure? use 3.14 for π and round the answer to the nearest tenth of a…

Answer:

C. $1,582.6$ in.$^{3}$

Explanation:

Step1: Calculate cylinder volume

$V_{cylinder}=\pi r^{2}h$, where $r = 12\div2=6$ in and $h = 11$ in. So $V_{cylinder}=3.14\times6^{2}\times11=3.14\times36\times11 = 1243.44$ in.$^{3}$

Step2: Calculate cone volume

$V_{cone}=\frac{1}{3}\pi r^{2}h$, with $r = 6$ in and $h=20 - 11 = 9$ in. Then $V_{cone}=\frac{1}{3}\times3.14\times6^{2}\times9=3.14\times36\times3=339.12$ in.$^{3}$

Step3: Calculate composite - figure volume

$V = V_{cylinder}+V_{cone}=1243.44 + 339.12=1582.56\approx1582.6$ in.$^{3}$