Question

The content includes measurements of 4 m, 10 m, and 7 m represented in a diagram. It appears to be a drawing or illustration that visually conveys these dimensions. The tags indicate that this may be cartoon-like or clipart in style.
Find the volume of the cylinder, in cubic meters. Use 3.14 for pi. Round your answer to the nearest hundredth.(1 point)

Answer 1

To find the volume of a cylinder, we use the formula:

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

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

From your description, I assume that:
- The height of the cylinder is given as 10 m.
- The diameter of the cylinder (which I will assume is represented by one of the other measurements) is 7 m. Therefore, the radius \( r \) would be half of the diameter.

Calculating the radius:

\[
r = \frac{d}{2} = \frac{7 \, \text{m}}{2} = 3.5 \, \text{m}
\]

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

\[
V = 3.14 \times (3.5 \, \text{m})^2 \times 10 \, \text{m}
\]

Calculating \( (3.5)^2 \):

\[
(3.5)^2 = 12.25
\]

Now substituting back to the volume equation:

\[
V = 3.14 \times 12.25 \times 10
\]

Calculating \( 3.14 \times 12.25 \):

\[
3.14 \times 12.25 = 38.675
\]

Now multiplying by the height \( 10 \):

\[
V = 38.675 \times 10 = 386.75
\]

Thus, rounding to the nearest hundredth:

\[
\boxed{386.75} \, \text{cubic meters}
\]