The volume of a cylinder is 224π cubic centimeters and its radius is 4 centimeters.
What is the height of the cylinder?
so here i am kind of confused do i just input in 224 or do i have to multiply 224 with pie them insert in the formula
V = pi r^2 * h
224 pi = pi (16) h
h = 224/16
To find the height of the cylinder, you need to use the formula for the volume of a cylinder and calculate the height. The formula for the volume of a cylinder is V = π * r^2 * h, where V is the volume, π is a constant (approximately 3.14159), r is the radius, and h is the height.
Given that the volume is 224π cubic centimeters and the radius is 4 centimeters, you can substitute these values into the formula and solve for the height:
224π = π * 4^2 * h
To simplify the equation, you can cancel out the common factor of π:
224 = 4^2 * h
Now, square 4:
224 = 16 * h
To isolate h, divide both sides of the equation by 16:
h = 224 / 16
Simplifying:
h = 14
Therefore, the height of the cylinder is 14 centimeters.
To find the height of the cylinder, you can use the formula for the volume of a cylinder, which is V = π r^2 h, where V is the volume, r is the radius, and h is the height.
First, let's substitute the known values into the formula:
224π = π (4^2) h
To simplify the equation, square the radius:
224π = π (16) h
Now, divide both sides of the equation by π (16):
(224π) / (π (16)) = h
Simplifying further:
224 / 16 = h
The final step is to solve the equation:
h = 14
Therefore, the height of the cylinder is 14 centimeters.
So, to answer your question, you need to multiply 224 by π and then divide by the area of the square of the radius to find the height of the cylinder.