Question

calculator
what is the exact volume of the cylinder?
$32\pi$ in³
$64\pi$ in³
$128\pi$ in³
$512\pi$ in³
4 in.
8 in.

Explanation:

Step1: Recall cylinder volume formula

The volume \( V \) of a cylinder is \( V = \pi r^2 h \), where \( r \) is radius, \( h \) is height.

Step2: Identify given values

\( r = 4 \text{ in} \), \( h = 8 \text{ in} \)

Step3: Substitute values into formula

\( V = \pi \times 4^2 \times 8 \)

Step4: Calculate the result

\( V = \pi \times 16 \times 8 = 128\pi \)

Answer:

128π in³ (Option C: 128π in³)