a large drainage pipe has a radius of 8 feet and a height of 12 feet. What is the volume?
V = r ^ 2 * pi * h
V = 8 ^ 2 * pi * 12
V = 64 * pi * 12
V = 2412.743 ft ^ 3
thnx!
To find the volume of a cylinder, we can use the formula: V = π * r^2 * h, where V represents the volume, r represents the radius, and h represents the height.
In this case, the radius (r) of the drainage pipe is given as 8 feet, and the height (h) is given as 12 feet. We can substitute these values into the formula:
V = π * (8^2) * 12
To calculate the volume, we need to find the value of r^2 and multiply it by 12, and finally multiply the result by π (pi). Let's break it down further:
Step 1: Calculate r^2
r^2 = 8^2 = 64
Step 2: Substitute the values into the formula
V = π * 64 * 12
Step 3: Multiply the values
V = 241.92π
So, the volume of the drainage pipe is approximately 241.92π cubic feet.