A cone-shaped pile of sawdust has a base diameter of 40 feet, and is 15 feet tall.
Find the volume of the sawdust pile. Round your answer to the nearest hundredth if necessary. Use 3.14
Well, well, well! Looks like we have a pile of sawdust shaped like a cone. How cone-venient! Let's get down to business and calculate its volume.
To find the volume of a cone, we use the formula: V = (1/3)πr²h, where V is the volume, π is approximately 3.14, r is the radius of the base, and h is the height.
Given that the base diameter is 40 feet, the radius (r) would be half of that, which is 20 feet. The height (h) is 15 feet.
Now, we can plug these values into our formula and calculate the volume:
V = (1/3) × 3.14 × 20² × 15
Calculating this expression, we get:
V = (1/3) × 3.14 × 400 × 15
Now, let's do some math and find the answer:
V ≈ 1/3 × 3.14 × 400 × 15 ≈ 9424.8
So, the volume of the sawdust pile is approximately 9424.8 cubic feet.
To find the volume of a cone-shaped pile of sawdust, you can use the formula:
Volume = (1/3)πr^2h
Where:
π represents the mathematical constant pi (approximately 3.14)
r represents the radius of the base of the cone
h represents the height of the cone
Given that the base diameter is 40 feet, we can find the radius by dividing the diameter by 2:
r = 40 feet / 2 = 20 feet
Given that the height of the cone is 15 feet, we can now substitute the values into the formula:
Volume = (1/3)π(20 feet)^2(15 feet)
Simplifying further:
Volume = (1/3)π(400 square feet)(15 feet)
Volume = (1/3)(3.14)(6000 cubic feet)
Volume ≈ 6283.2 cubic feet (rounded to the nearest hundredth)
Therefore, the volume of the sawdust pile is approximately 6283.2 cubic feet.
To find the volume of a cone-shaped pile, we can use the formula:
V = (1/3) * π * r^2 * h
Where:
V = Volume of the cone
π = 3.14 (pi, a mathematical constant)
r = Radius of the base of the cone
h = Height of the cone
In this case, the diameter is given, but we need the radius, which is half the diameter. So, the radius (r) would be 40 feet / 2 = 20 feet.
Now, we can substitute the values into the formula:
V = (1/3) * 3.14 * 20^2 * 15
Simplifying:
V = (1/3) * 3.14 * 400 * 15
V = 0.3333 * 3.14 * 400 * 15
V = 0.3333 * 3.14 * 6000
V ≈ 6283.19
Therefore, the volume of the sawdust pile is approximately 6283.19 cubic feet.
You should know that the volume of a cone
= (1/3)π r^2 h
Just plug in your data