The height of a cylinder is four times the radius of the cylinder. If the volume of the cylinder is 256 cm², what is the radius of the cylinder.
Created: 2 years ago |
Updated: 7 months ago
best des
To find the radius of the cylinder, we can use the formula for the volume of a cylinder, which is given by:
Volume = π * r^2 * h
where:
- Volume is the volume of the cylinder,
- π is the mathematical constant pi (approximately 3.14159),
- r is the radius of the cylinder, and
- h is the height of the cylinder.
We are given that the height of the cylinder is four times the radius, which can be expressed as h = 4r.
We are also given that the volume of the cylinder is 256 cm³. Plugging these values into the volume formula:
256 = π * r^2 * (4r)
Now, we can solve for r:
256 = 4πr^3
Divide both sides by 4π:
r^3 = 64
Now, take the cube root of both sides to find r:
r = ∛64
r = 4
So, the radius of the cylinder is 4 cm.
Related Question
View More
Created: 6 years ago |
Updated: 6 days ago
Created: 6 years ago |
Updated: 1 week ago
Created: 6 years ago |
Updated: 1 year ago
Promotion
Download Our Mobile Apps
