Question

A silo is a large cylinder container that holds hay. A farmer needs to refinish the side of the silo with aluminum. the silo has a radius of four feet in the height of 30 feet how many square feet of aluminum does the farmer need to refinish the silo? He will not be refinishing the top or bottom of the silo. Use 3.14 Pi and round up your Answer to the nearest tenth

Answer 1

To find the amount of aluminum needed to refinish the side of the silo, we need to calculate the lateral surface area of the cylinder. The formula for the lateral surface area \(A\) of a cylinder is:

\[ A = 2\pi rh \]

where:

• \(r\) is the radius of the cylinder,
• \(h\) is the height of the cylinder,
• \(\pi\) is approximately 3.14.

Given:

• Radius (\(r\)) = 4 feet,
• Height (\(h\)) = 30 feet.

Now, substituting the values into the formula:

\[ A = 2 \cdot 3.14 \cdot 4 \cdot 30 \]

Calculating step-by-step:

1. Multiply the radius and height: \[ 4 \cdot 30 = 120 \]

2. Now, multiply by \(2\): \[ 2 \cdot 120 = 240 \]

3. Finally, multiply by \(\pi\) (3.14): \[ 240 \cdot 3.14 = 753.6 \]

So, the lateral surface area of the silo is 753.6 square feet.

Since the problem specifies rounding up to the nearest tenth, the final answer is:

\[ \text{The farmer needs } 753.6 \text{ square feet of aluminum.} \]