Question

An image of an oblique cylinder is shown with a radius of 4m and height of 7m and left side 10m
Find the volume of the cylinder, in cubic meters. Use 3.14 for pi. Round your answer to the nearest hundredth.(1 point)
cubic meters

Answer 1

The volume \( V \) of a cylinder can be calculated using the formula:

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

where \( r \) is the radius and \( h \) is the height of the cylinder. In this case, you provided:

- **Radius \( r = 4 \) m**
- **Height \( h = 7 \) m**
- **Use \( \pi \approx 3.14 \)**

Now, substituting the values into the formula:

\[
V = 3.14 \times (4)^2 \times 7
\]

Calculating \( (4)^2 \):

\[
(4)^2 = 16
\]

Now substitute this back into the formula:

\[
V = 3.14 \times 16 \times 7
\]

Calculating \( 16 \times 7 \):

\[
16 \times 7 = 112
\]

Now multiply by \( 3.14 \):

\[
V = 3.14 \times 112
\]

Calculating \( 3.14 \times 112 \):

\[
V = 351.68
\]

So, rounding to the nearest hundredth, the volume of the cylinder is

\[
\boxed{351.68} \text{ cubic meters}
\]