Question

Find the volume of the cylinder, in cubic millimeters. Round your answer to the nearest hundredth.
(1 point)

CYLINDER is 8mm wide from the center to the outside and 13mm tall

Answer 1

A water bottle has a height of 16 inches and a radius of 4 inches. What is the volume, in cubic inches,
of the water bottle? Use 3.14 for pi. (1 point)

Answer 2

To find 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 cylinder is 8 mm wide from the center to the outside, the diameter is 8 mm. Therefore, the radius \( r \) can be calculated as:

\[
r = \frac{d}{2} = \frac{8 \text{ mm}}{2} = 4 \text{ mm}
\]

The height \( h \) of the cylinder is given as 13 mm.

Now, substituting the values of \( r \) and \( h \) into the volume formula:

\[
V = \pi (4 \text{ mm})^2 (13 \text{ mm})
\]
\[
V = \pi (16 \text{ mm}^2)(13 \text{ mm})
\]
\[
V = \pi (208 \text{ mm}^3)
\]
\[
V \approx 3.14159 \times 208 \approx 654.49 \text{ mm}^3
\]

Rounding this to the nearest hundredth:

\[
V \approx 654.49 \text{ mm}^3
\]

Thus, the volume of the cylinder is approximately **654.49 cubic millimeters**.