Question

A thermos in the shape of a cylinder is filled with coffee. The height of the cylinder is 12 inches and its radius is 2 inches. To the nearest tenth of a cubic inch, what is the volume of coffee in the thermos?
Responses
A 138.2 cubic inches138.2 cubic inches
B 144.5 cubic inches144.5 cubic inches
C 150.8 cubic inches150.8 cubic inches
D 157.1 cubic inches

Answer 1

To find the volume \( V \) of a cylinder, we can use the formula:

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

where:
- \( r \) is the radius of the cylinder,
- \( h \) is the height of the cylinder,
- \( \pi \approx 3.14159 \).

Given:
- Radius \( r = 2 \) inches,
- Height \( h = 12 \) inches.

Now, let's calculate the volume:

\[
V = \pi (2)^2 (12)
\]

Calculating \( (2)^2 \):

\[
(2)^2 = 4
\]

Now substitute this back into the volume formula:

\[
V = \pi \cdot 4 \cdot 12 = 48\pi
\]

Now we can calculate \( 48\pi \):

\[
V \approx 48 \times 3.14159 \approx 150.79632
\]

Rounding this to the nearest tenth:

\[
V \approx 150.8 \text{ cubic inches}
\]

Therefore, the answer is:

C) 150.8 cubic inches.