To find the volume of an oblique cylinder with a base radius of 4 meters and a height of 11 meters, we can treat it similarly to a right cylinder because the volume formula remains consistent.
### Step-by-Step Guide:
1. Identify the formula for the volume of a cylinder:
The volume [tex]\( V \)[/tex] of a cylinder is given by:
[tex]\[
V = \pi r^2 h
\][/tex]
where:
- [tex]\( \pi \)[/tex] (pi) is approximately 3.14,
- [tex]\( r \)[/tex] is the radius of the base,
- [tex]\( h \)[/tex] is the height of the cylinder.
2. Substitute the given values into the formula:
- Radius [tex]\( r = 4 \)[/tex] meters,
- Height [tex]\( h = 11 \)[/tex] meters,
- and use [tex]\( \pi = 3.14 \)[/tex].
The formula becomes:
[tex]\[
V = 3.14 \times (4)^2 \times 11
\][/tex]
3. Perform the calculations step-by-step:
- Calculate the square of the radius:
[tex]\[
4^2 = 16
\][/tex]
- Multiply this by the height:
[tex]\[
16 \times 11 = 176
\][/tex]
- Finally, multiply by [tex]\( \pi = 3.14 \)[/tex]:
[tex]\[
3.14 \times 176 = 552.64
\][/tex]
4. Round the volume to the nearest whole number:
[tex]\[
552.64 \approx 553
\][/tex]
### Final Answer:
The volume of the oblique cylinder is approximately 553 cubic meters (m³).
