Question

The volume of this cylinder is 7,218.86 cubic centimeters. What is the radius?

Use ​𝜋 ≈ 3.14 and round your answer to the nearest hundredth.

r
19 cm

r ≈
centimeters

Answer 1

To find the radius of a cylinder given its volume, we can use the formula for the volume of a cylinder:

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

where \( V \) is the volume, \( r \) is the radius, and \( h \) is the height of the cylinder. However, we don't have the height provided, so we can't determine the radius directly without that information.

If you can provide the height of the cylinder, we can calculate the radius using the volume you have given (7,218.86 cubic centimeters). If the height is not available, we can't find the radius.

Let's say, for example, if the height \( h \) was 20 cm, you could rearrange the formula to solve for \( r \):

1. Substitute the values into the equation:
\[
7218.86 = 3.14 r^2 (20)
\]

2. Simplify:
\[
7218.86 = 62.8 r^2
\]

3. Divide by 62.8:
\[
r^2 = \frac{7218.86}{62.8}
\]

4. Calculate \( r^2 \):
\[
r^2 \approx 114.96
\]

5. Take the square root:
\[
r \approx \sqrt{114.96} \approx 10.73 \text{ cm}
\]

6. Therefore, rounding to the nearest hundredth gives \( r \approx 10.73 \) cm.

Please provide the height of the cylinder for an accurate calculation of the radius.