A silo is a large cylinder container that holds hay. A farmer needs

Question

to refinish the side of the silo with aluminum. The silo has a radius
of 4 feet and a 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 for pi and round
your answer to the nearest tenth. (1 point)

Answer 1

To find the surface area of the side of the cylindrical silo that the farmer needs to refinish, we can use the formula for the lateral surface area of a cylinder, which is given by:

\[ A = 2\pi rh \]

where \( r \) is the radius and \( h \) is the height of the cylinder.

Given:

• \( r = 4 \) feet
• \( h = 30 \) feet
• \( \pi \approx 3.14 \)

Now we can substitute the values into the formula:

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

Calculating this step by step:

1. Calculate \( 2 \times 3.14 = 6.28 \)
2. Calculate \( 6.28 \times 4 = 25.12 \)
3. Calculate \( 25.12 \times 30 = 753.6 \)

Thus, the lateral surface area of the silo is:

\[ A \approx 753.6 \text{ square feet} \]

Rounding to the nearest tenth, the farmer needs 753.6 square feet of aluminum to refinish the silo.