A 3 D oblique cylinder shows a length of 10 meters and a perpendicular height of 7 meters. The base radius is 4 meters.

Question

Find the volume of the cylinder, in cubic meters. Use 3.14 for pi. Round your answer to the nearest hundredth

Answer 1

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

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

where:

• \( V \) is the volume,
• \( r \) is the radius of the base, and
• \( h \) is the height of the cylinder.

In this case, the parameters are:

• Radius \( r = 4 \) meters,
• Height \( h = 7 \) meters,
• Using \( \pi \approx 3.14 \).

Now, plug the values into the volume formula:

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

Calculate \( 4^2 \):

\[ 4^2 = 16 \]

Now substitute back into the formula:

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

Calculate \( 16 \times 7 \):

\[ 16 \times 7 = 112 \]

Now substitute that back in:

\[ V = 3.14 \times 112 \]

Finally, calculate \( 3.14 \times 112 \):

\[ V = 351.68 \]

Therefore, the volume of the cylinder is:

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