What is the number of inches in the radius of a cylinder 2 inches in height if its volume is 288pie in cubed
volume of cylinder = pi(r^2)h
288pi = pi(r^2)(2)
r^2 = 144
r = √144
= 12
To find the radius of a cylinder, we need to know its volume and height. In this case, the height is given as 2 inches and the volume is given as 288π cubic inches.
The formula to calculate the volume of a cylinder is:
Volume = π * radius^2 * height
We can rearrange this formula to solve for the radius:
radius = √(Volume / (π * height))
Now let's substitute the given values into the formula.
radius = √(288π / (π * 2))
Simplifying the equation further:
radius = √(144)
Taking the square root of 144, we find:
radius = 12
Therefore, the radius of the cylinder is 12 inches.