Estimate the gallons of paint needed to cover the outside of a cylindrical silo which is 30 feet in diameter and 70 feet high.

Do not include any roof area.
The paint covers approximately 150 square feet/gallon.

area = pi D^2/4 h = [ pi (900)/4 ]70

area/150 = gallons

15×15x 3.14=

To estimate the gallons of paint needed to cover the outside of a cylindrical silo, we need to calculate the total surface area to be painted and then divide it by the coverage rate of the paint.

First, let's calculate the surface area of the cylindrical part of the silo, excluding the roof area:

1. Determine the circumference of the base:
Circumference = π * diameter
Circumference = 3.14 * 30 feet
Circumference ≈ 94.2 feet

2. Calculate the lateral surface area (excluding the top and bottom):
Lateral Surface Area = circumference * height
Lateral Surface Area ≈ 94.2 feet * 70 feet
Lateral Surface Area ≈ 6,594 square feet

Now that we have the total surface area of the cylindrical part of the silo, we can determine the number of gallons of paint needed:

3. Divide the surface area by the coverage rate of the paint:
Gallons of Paint = Surface Area / Coverage Rate
Gallons of Paint ≈ 6,594 square feet / 150 square feet/gallon
Gallons of Paint ≈ 43.96 gallons

Therefore, an estimated 43.96 gallons of paint would be needed to cover the outside of the cylindrical silo, excluding roof area, considering a coverage rate of 150 square feet per gallon.