Question

find the volume of the cylinder, in cubic meters. Use 3.14 for pi. round your answer to the nearest hundredth. The cylinder is leaning and the radius is 4 m height slant is 10 m and 7 m is the height from the slant edge to the ground

Answer 1

To find the volume of a cylinder, the formula is:

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

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

From the information given:
- The radius \( r = 4 \) m.
- The height of the cylinder \( h \) is 7 m (the height from the slant edge to the ground).

Using \( \pi \approx 3.14 \), we can now calculate the volume.

First, calculate the area of the base of the cylinder:

\[
\text{Area} = \pi r^2 = 3.14 \times (4)^2 = 3.14 \times 16 = 50.24 \text{ m}^2
\]

Now, calculate the volume:

\[
V = \text{Area} \times h = 50.24 \times 7 = 351.68 \text{ m}^3
\]

Finally, rounding to the nearest hundredth, the volume of the cylinder is:

\[
\boxed{351.68 \text{ m}^3}
\]