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 4 ft and a height of 30 ft how many square feet of aluminum does the farmer need to refinish the silo he would not be refinishing the top or bottom of the silo use 3.14 for pi and round your answer to the nearest tenth

Answer 1

To find the surface area that needs to be refinished on the side of the silo, we will calculate the lateral surface area of the cylinder (which is essentially the curved surface area). The formula for the lateral surface area \( A \) of a cylinder is given by:

\[ A = 2 \pi r h \]

where:

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

Given:

• \( r = 4 \) ft,
• \( h = 30 \) ft,
• \( \pi = 3.14 \).

Now, plug in the values into the formula:

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

Calculating step-by-step:

1. Calculate \( 2 \times 3.14 = 6.28 \).
2. Multiply by the radius: \( 6.28 \times 4 = 25.12 \).
3. Finally, multiply by the height: \( 25.12 \times 30 = 753.6 \).

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

Therefore, the farmer needs 753.6 square feet of aluminum to refinish the silo.