Rounded to the nearest hundred cubic meters, what is the total capacity (cone and cylinder) of the storage container? the cone is on top of the cylinder. the radius of the cone is 6 meters and the height of the cone is 8 meters. the height of the cylinder is 10 meters. im trying to figure out what are the two volumes combinded are.
well, that'd just be the sum of the two volumes, right?
cone: 1/3 πr^2h = π/3 (6^2)(8)
cylinder: πr^2h = π (6^2)(10)
What is 1.685 round to the nearest hundred
To find the total capacity of the storage container, we need to calculate the volumes of the cone and cylinder separately, and then add them together.
Let's start with the cone:
The formula for the volume of a cone is:
V(cone) = (1/3) * π * r^2 * h
Plugging in the values we have:
r = 6 meters (radius of the cone)
h = 8 meters (height of the cone)
V(cone) = (1/3) * 3.14 * 6^2 * 8
= 3.14 * 36 * 8
= 904.32 cubic meters (rounded to two decimal places)
Now let's move on to the cylinder:
The formula for the volume of a cylinder is:
V(cylinder) = π * r^2 * h
Plugging in the values we have:
r = 6 meters (radius of the cylinder, which is the same as the radius of the cone)
h = 10 meters (height of the cylinder)
V(cylinder) = 3.14 * 6^2 * 10
= 3.14 * 36 * 10
= 1130.4 cubic meters (rounded to one decimal place)
To find the total capacity, we add the volumes of the cone and cylinder together:
Total Capacity = V(cone) + V(cylinder)
= 904.32 + 1130.4
= 2034.72 cubic meters (rounded to two decimal places)
Therefore, the total capacity of the storage container, rounded to the nearest hundred cubic meters, is 2100 cubic meters.
To find the total capacity of the storage container, we need to calculate the volume of both the cone and the cylinder separately, and then add them together.
Let's start with the cone:
The formula for the volume of a cone is V = (1/3)πr^2h, where V represents the volume, π is a mathematical constant approximately equal to 3.14159, r is the radius of the cone, and h is the height of the cone.
Given that the radius of the cone is 6 meters and the height is 8 meters, we can substitute these values into the formula:
V_cone = (1/3) * π * (6^2) * 8
≈ (1/3) * 3.14159 * 36 * 8
≈ 301.71 cubic meters (rounded to two decimal places)
Next, let's calculate the volume of the cylinder:
The formula for the volume of a cylinder is V = πr^2h, where V represents the volume, π is the mathematical constant, r is the radius of the base of the cylinder, and h is the height of the cylinder.
Given that the radius of the cylinder is also 6 meters and the height is 10 meters, we can substitute these values into the formula:
V_cylinder = π * (6^2) * 10
≈ 3.14159 * 36 * 10
≈ 1130.97 cubic meters (rounded to two decimal places)
Now, we can calculate the total capacity of the storage container by adding the volumes of the cone and the cylinder:
Total Capacity = V_cone + V_cylinder
≈ 301.71 + 1130.97
≈ 1432.68 cubic meters (rounded to two decimal places)
Therefore, the total capacity (cone and cylinder combined) of the storage container, rounded to the nearest hundred cubic meters, is approximately 1400 cubic meters.