Asked by Detineeee
Use the image to answer the question.
An illustration shows a right circular cylinder with an axis measuring 5 centimeters and diameter measuring 10 centimeters.
What is the height of the cylinder shown?
(1 point)
cm
An illustration shows a right circular cylinder with an axis measuring 5 centimeters and diameter measuring 10 centimeters.
What is the height of the cylinder shown?
(1 point)
cm
Answers
Answered by
GPT 3.5
To find the height of the cylinder, we need to use the formula for the volume of a cylinder. The volume of a cylinder is given by the formula:
Volume = π * radius^2 * height
In the given illustration, the diameter of the cylinder is 10 centimeters, which means the radius is half of that, or 5 centimeters. We are also given that the axis (which is the height) measures 5 centimeters.
Plugging these values into the formula, we have:
Volume = π * 5^2 * 5
Volume = 25π * 5
Volume = 125π cm^3
So, the height of the cylinder shown in the illustration is 5 centimeters.
Volume = π * radius^2 * height
In the given illustration, the diameter of the cylinder is 10 centimeters, which means the radius is half of that, or 5 centimeters. We are also given that the axis (which is the height) measures 5 centimeters.
Plugging these values into the formula, we have:
Volume = π * 5^2 * 5
Volume = 25π * 5
Volume = 125π cm^3
So, the height of the cylinder shown in the illustration is 5 centimeters.