**Find the volume of the solid shown above. (The solid is not drawn to scale and remember to use π≈3.14 for all calculations involving π).**

**Volume =  yd3**
*Round answers to 4 decimal place as needed.*
cylinder  15yd by 6 yd

**Volume =  ft3**
*Round answers to 4 decimal place as needed.*



We are dealing with a cylinder that has a height of 15 yards and a diameter of 6 yards. 

### Step 1: Formula for the Volume of a Cylinder
The formula to calculate the volume \( V \) of a cylinder is:
\[
V = \pi r^2 h
\]
Where:
- \( r \) is the radius of the base,
- \( h \) is the height of the cylinder,
- \( \pi \approx 3.14 \).

### Step 2: Find the Radius
The diameter is 6 yards, so the radius \( r \) is half of that:
\[
r = \frac{6}{2} = 3 \text{ yards}
\]

### Step 3: Apply the Formula
Now we substitute the radius \( r = 3 \) yards and the height \( h = 15 \) yards into the formula:
\[
V = 3.14 \times 3^2 \times 15
\]
\[
V = 3.14 \times 9 \times 15 = 3.14 \times 135 = 423.9 \text{ cubic yards}
\]

### Volume in Yards
The volume of the cylinder is approximately **423.9000 cubic yards**.

### Step 4: Convert to Cubic Feet
To convert from cubic yards to cubic feet, we use the conversion factor:
\[
1 \text{ cubic yard} = 27 \text{ cubic feet}
\]
So, the volume in cubic feet is:
\[
V = 423.9 \times 27 = 11445.3 \text{ cubic feet}
\]

### Volume in Feet
The volume of the cylinder is approximately **11445.3000 cubic feet**.

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Here are 5 related questions:
1. How do you calculate the surface area of a cylinder?
2. How does changing the height affect the volume of a cylinder?
3. How would the volume change if the radius was doubled?
4. Can the volume formula be used for any type of prism?
5. What is the formula for the volume of a cone, and how does it differ from a cylinder?

**Tip:** When converting units, always double-check your conversion factors to ensure accuracy.

Find the volume of the solid shown above. (The solid is not drawn to scale and remember to use π≈3.14 for all calculations involving π).

Volume = yd³
*Round answers to 4 decimal place as needed.*
cylinder  15yd by 6 yd

Volume = ft³
*Round answers to 4 decimal place as needed.*

Learn how to calculate the volume of a cylinder with a height of 15 yards and a diameter of 6 yards. This problem includes step-by-step instructions using the volume formula V = πr²h and conversions from cubic yards to cubic feet. Suitable for students in Grades 9-12.

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