Find the volume of a cylinder with a height of 12 inches and a diameter of 8 inches.
help pls!
To find the volume of a cylinder, you can use the formula V = πr^2h, where V is the volume, r is the radius, and h is the height.
Step 1: Find the radius (r) of the cylinder by dividing the diameter (d) by 2.
Given, d = 8 inches
r = d/2 = 8/2 = 4 inches
Step 2: Substitute the values of r and h into the formula for the volume of a cylinder.
V = π * (4)^2 * 12
V = π * 16 * 12
V = 192π cubic inches
Step 3: Simplify the answer.
The value of π is approximately 3.14159.
V ≈ 192 * 3.14159
V ≈ 603.185 cubic inches
Therefore, the volume of the cylinder is approximately 603.185 cubic inches.
To find the volume of a cylinder, we can use the formula:
Volume = π * r^2 * h
where:
π is a mathematical constant approximately equal to 3.14,
r is the radius of the base of the cylinder,
h is the height of the cylinder.
In this case, we are given the diameter, which is twice the radius. So, to calculate the volume of the cylinder, we need to find the radius first.
Given:
Height (h) = 12 inches
Diameter = 8 inches
To find the radius (r), we divide the diameter by 2:
Radius (r) = Diameter / 2 = 8 inches / 2 = 4 inches
Now that we have the radius (r) and height (h), we can substitute them into the formula:
Volume = π * r^2 * h
Volume = 3.14 * (4 inches)^2 * 12 inches
Volume = 3.14 * 16 square inches * 12 inches
Volume ≈ 602.88 cubic inches
Therefore, the volume of the cylinder is approximately 602.88 cubic inches.
The volume of a cylinder is equal to πr2h, where r is the radius and h is the height.
The radius of the cylinder is equal to half of the diameter, or 4 inches.
Therefore, the volume of the cylinder is equal to π(4)2(12) = 192π cubic inches.