Question

What is the volume of this cylinder?
Ratio 5, height 5
Use ​𝜋 ≈ 3.14 and round your answer to the nearest hundredth.

Answer 1

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

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

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

You've provided a ratio of 5, which I will assume means the diameter of the cylinder is 5 units, and therefore the radius \( r \) is half of that:

\[
r = \frac{5}{2} = 2.5
\]

The height \( h \) is given as 5.

Now, substituting the values into the volume formula:

\[
V = \pi (2.5)^2 (5)
\]

Calculating \( (2.5)^2 \):

\[
(2.5)^2 = 6.25
\]

Now substituting back into the volume formula:

\[
V = 3.14 \times 6.25 \times 5
\]

Now, calculating \( 6.25 \times 5 \):

\[
6.25 \times 5 = 31.25
\]

Now multiplying that by \( \pi \):

\[
V = 3.14 \times 31.25
\]

Calculating this product:

\[
3.14 \times 31.25 = 98.125
\]

Now, rounding to the nearest hundredth:

\[
V \approx 98.13
\]

Therefore, the volume of the cylinder is approximately \( \textbf{98.13} \) cubic units.