Question

exit ticket

1. the height of a cylinder is 5 centimeters. the circumference of the base of the cylinder i

16π centimeters.
which measurement is closest to the volume of the cylinder in cubic centimeters?
a 251.3 cm³
b 4,021.2 cm³
c 1,005.3 cm³
d 628.3 cm³

Explanation:

Step1: Find radius from circumference

Circumference formula: $C=2\pi r$. Solve for $r$:
$r=\frac{C}{2\pi}=\frac{16\pi}{2\pi}=8$ cm

Step2: Calculate cylinder volume

Volume formula: $V=\pi r^2 h$. Substitute $r=8$, $h=5$:
$V=\pi\times8^2\times5=\pi\times64\times5=320\pi$

Step3: Compute numerical value

$320\pi\approx320\times3.1416=1005.312$ cm³

Answer:

C 1,005.3 cm³