the surface area of a cylinder is 500 square feet; the lateral surface area is 320 square feet. give the area of the base
well,
2πr^2+2πrh = 500
2πrh = 320
So, 2πr^2 = 180
πr^2 = 90
To find the area of the base of a cylinder, we need to subtract the lateral surface area from the total surface area.
Given that the total surface area of the cylinder is 500 square feet, and the lateral surface area is 320 square feet, we can subtract the lateral surface area from the total surface area to find the area of the base.
Area of the base = Total surface area - Lateral surface area
Area of the base = 500 square feet - 320 square feet
Area of the base = 180 square feet
Therefore, the area of the base of the cylinder is 180 square feet.