Question

A cylinder has a height of 6.2 millimeters and a diameter of 14 millimeters. What is its volume?Use ​𝜋≈3.14 and round your answer to the nearest whole number.cubic millimeters

Answer 1

To calculate the volume \( V \) of a cylinder, you can use the formula:

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

where \( r \) is the radius and \( h \) is the height.

First, find the radius \( r \). The diameter is given as 14 millimeters, so the radius is:

\[
r = \frac{\text{diameter}}{2} = \frac{14}{2} = 7 \text{ millimeters}
\]

Next, substitute the values for \( \pi \approx 3.14 \), \( r = 7 \text{ mm} \), and \( h = 6.2 \text{ mm} \) into the volume formula:

\[
V = 3.14 \times (7)^2 \times 6.2
\]

Calculate \( (7)^2 \):

\[
(7)^2 = 49
\]

Now plug this value back into the volume equation:

\[
V = 3.14 \times 49 \times 6.2
\]

Calculate \( 3.14 \times 49 \):

\[
3.14 \times 49 \approx 153.86
\]

Now, multiply by the height \( 6.2 \):

\[
V \approx 153.86 \times 6.2
\]

Calculating this gives:

\[
V \approx 954.332
\]

Finally, rounding to the nearest whole number:

\[
V \approx 954 \text{ cubic millimeters}
\]

So, the volume of the cylinder is approximately **954 cubic millimeters**.