Question

What is the volume of a cylinder with radius 4 inches and height 10 inches? Use 3.14 for π.



125.6 in³


251.2 in³


502.4 in³


1256 in³

Answer 1

To calculate the volume of a cylinder, you can use the formula:

\[ V = \pi r^2 h \]

where \( V \) is the volume, \( r \) is the radius, and \( h \) is the height. Given that the radius \( r = 4 \) inches, the height \( h = 10 \) inches, and using \( \pi \approx 3.14 \), we can substitute these values into the formula:

\[
V = 3.14 \times (4)^2 \times 10
\]

Calculating \( (4)^2 \):

\[
(4)^2 = 16
\]

Now substitute back into the volume formula:

\[
V = 3.14 \times 16 \times 10
\]

Calculating \( 16 \times 10 \):

\[
16 \times 10 = 160
\]

Now multiply by \( 3.14 \):

\[
V = 3.14 \times 160 = 502.4
\]

Thus, the volume of the cylinder is:

\[
\boxed{502.4 \text{ in}^3}
\]

So the correct answer is **502.4 in³**.