an oil drum is 8ft high and 2 ft in diameter if the drum is half full how much is in cylinder. please show explanation
V = pi * r^2 * 8
V = 3.14 * 1 * 8
V = 25.14 cubic feet
25.14 / 2 = ?_______ cu. ft.
The volume is 25.12 cu. ft.
25.12 / 2 = _____ cu. ft.
To find the volume of a cylinder, you need to multiply the area of the base (circle) by the height of the cylinder.
First, let's calculate the area of the base (circle). The formula for the area of a circle is πr², where π is a mathematical constant (approximately 3.14159) and r is the radius of the circle.
Given that the diameter of the drum is 2 ft, the radius (r) is half of the diameter, which is 1 ft.
So, the area of the base (circle) is: π(1 ft)² = π(1 ft)² ≈ 3.14159 ft²
Next, we need to determine the height of the liquid in the drum. Since the drum is half full, the height of the liquid is half of the drum's total height. The height of the drum is given as 8 ft, so the height of the liquid is 8 ft ÷ 2 = 4 ft.
Now, we can calculate the volume of the liquid in the drum by multiplying the area of the base by the height of the liquid:
Volume = Area of base × Height = 3.14159 ft² × 4 ft
Calculating this multiplication gives us a final answer:
Volume = 12.56636 ft² × 4 ft = 50.26544 ft³
So, if the oil drum is half full, there would be approximately 50.26544 cubic feet of liquid in the drum.