Find the missing dimension of a cylinder.
 
V = 787.76cm3, h = 8cm, r = Answer


To find the missing radius \( r \) of a cylinder, we can use the formula for the volume of a cylinder:

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

Where:
- \( V \) is the volume of the cylinder,
- \( r \) is the radius of the base,
- \( h \) is the height of the cylinder,
- \( \pi \) is approximately 3.1416.

Given:
- \( V = 787.76 \, \text{cm}^3 \),
- \( h = 8 \, \text{cm} \),
- \( r = ? \).

### Step 1: Rearrange the volume formula to solve for \( r \).

\[
r^2 = \frac{V}{\pi h}
\]

### Step 2: Substitute the given values into the formula.

\[
r^2 = \frac{787.76}{\pi \times 8}
\]

Now let's calculate \( r^2 \).We have:

\[
r^2 = 31.34
\]

### Step 3: Take the square root of both sides to find \( r \).

\[
r = \sqrt{31.34}
\]

Now, let's calculate the value of \( r \).It seems like I can’t do more advanced data analysis right now. Please try again later.

However, you can still calculate the square root of \( r^2 = 31.34 \) to find the radius. The approximate value will be:

\[
r = \sqrt{31.34} \approx 5.6 \, \text{cm}
\]

Let me know if you would like more details or have any further questions.

Here are five related questions you might explore:
1. How would the volume change if the height were doubled?
2. What is the surface area of the cylinder with these dimensions?
3. How can you express the radius in terms of the volume and height?
4. What happens to the volume if the radius is halved but the height remains the same?
5. What is the formula for the lateral surface area of a cylinder?

**Tip**: Always keep track of units when working with volume, surface area, or dimensional calculations!

Find the missing dimension of a cylinder. V = 787.76cm3, h = 8cm, r = ?

Learn how to calculate the missing radius of a cylinder with a volume of 787.76 cm³ and a height of 8 cm. This problem uses the cylinder volume formula (V = πr²h) and includes step-by-step instructions. Ideal for students in Grades 8-10 studying geometry and volume calculations.

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